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the capus of college having 320 students having stock of food for 80 days if 20 students leave the campus after 20 days how many more days will the foods last?
How to identify whether it is Direct or Inverse proportion?
2 men can do a peice of work in 6 hours and 4 hours respectively. After the first has worked for 2 hours' he is joined by the other. By when should the work be compleated?
If the weight of 12 sheets of thick paper is 40 grams,how many sheets wud weigh 2 an a half???
A can do a piece of work in 14 days while B can do it in 21 days. They began together and worked at it for 6 days. Then, A fell ill and B had to complete the remaining work alone. In how many days was the work completed?
manda and rajni can sow a field in 20 days. Manda can sow 1/3 of the field in 12 days. How long will Rajni take to sow the entire field by herself?
500 soldiers in a fort had enough food for 30 days . after 6 days, some soldiers were sent to another fort and thus the food lasted for 32 more days . how many soldiers left the fort ?
If 45 men can do a piece of work in 49 days, in how many days will 35 men do it?
The C.P of two watches taken together is Rs 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no gain or loss in the whole transaction then find the C.P of each watch.(PLZ answer soon exam is approaching)
if p=4q, then p and q vary ________ with each other
a) inversely
b) directly
c) insufficient information
a car travels a distance of 715km at a uniform speed.if the speed of the car is 10 km/hr more , it takes 2 hrs less to cover the same distance.find the original speed of the car
a shopkeeper buys an article for Rs 400 ana marks it for sale at a price that may give him 80% profit on his cost. he,however gives 15% discount on the marked price to his customer.
calculate:
i) the marked price of the article,
ii) the discount in rupees given to the customer,
iii) the actual percentage profit made by the shopkeeper.
8 persons can earn Rs 6000 in 5 days. What amountwill 3 persons earn in 12 days?
A shopkeeper marks his goods 20% higher above the cost price and also gives a discount of 10%. Find his gain percent.
A school librarian has enough money to order 8 paper back books at Rs.7.50 per book. If he decides instead to order hard cover books at Rs.10 per book, how many books can he buy?
In a hostel it costs Rs. 1800 to keep 50 children for 8 weeks. For what length of time did the cost of keeping 90 children amount to Rs. 21060 ?
An employer reduces the number employers in the ratio 15:8 and increases their wages in the ratios 14:25. In whatratio, the wages bill is increased or decreased.
The sum of two numbers is 28/25 of the first number. The second number is what percent of the first? (plz ans soon exam is aproaching)
A garrison of 120 men has provision for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?
what is meant by compound proportion?
a water tank has three inlets. inlet 1 can fill the tank in 30 min...inlet 2 can fill it in 40min... inlet 3 can fill it in 60 min... if all the three inlets are opened together how long will it take to fill the tank..
An electric pole 14m high casts a shadow of 10m. Find the height of a tree that casts a shadow of 15m under similar conditions.
A shopkeeper sold an article at a gain of 5%. If he had sold it for Rs 16.50 less, he would have lost 5%. Find the C.p of the article.
40kg of rice lasts 30 days in a family of 8 persons. If 2 guests stay with the family,how many days will 40kg of rice last????
What is proportion?
A shopkeeper buys two T.V sets of the same type. He sells one of them at a profit of 20% and the other at a loss of 5%. If the difference in selling prices is Rs 700, find the cost price of each T.V set
8. A train 210 m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train.
The scale of a map is 1:3 x 10^{7 }. Two cities are 5cm apart on a map. Find the actual distance between them in km.
A father gives 1% of his monthly income to his two son as pocket money.the elder son gets 80% of the total amount of money and he spends 80% of his share . If he save Rs 20 per month. Determine father's monthly income. (Plz answer this Question soon, exam is approaching)
if three persons can weave 168 shawls in 14 days ,how many shawls will be woven by 8 persons in 5 days.
If a man travels 65 km in 3 days by walking 7.1/2hours a day, in how many days will he travel 156 km by walking 8hours a day
In a hostel, 100 students had provisions for 130 day. after 10 days 20 students left the hostel. how long would the remaining food last?
difference between direct and inverse proportion ....
plz tell me fast ...............
A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel. How much long the remaining food will last? Please help me solve this tricky question. Thanks.
8 taps having the same rate of flow ,fill the tank in 27 minutes .if 2 tapes ,go out of order how long will the remaining tapes take to fill the tank ???
A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
A hostel spends Rs.3200 as cost of rice for 20 students for 30 days.If they spend Rs.2400 for 30 students,for how many days will the rice last?
shashi weaves 25 basketsin 35 days.In how many days will she weave 110 baskets
i am nt able to understand this
A contractor employed 210 men to build a house in 60 days . After 12 days , he was joined by 70 more men. in how many days willthe remaining worh be finished?
John bought two horses at Rs 20000 each. He sold one horse at 15% gain. But he had to sell the second horse at a loss. If he had suffered a loss of Rs 1800 on the whole transaction, find the selling price of the second horse. (PLZ answer soon exam approaching)
A loaded truck travels 14 km in 25 min. If the speed remains the same,how far can it travel in 5 hrs?
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
If 8 Oranges Cost Rs.10.40, How Many Oranges Can Be Bought For Rs.33.80?
plzz help me in this question......
10 men working for 5 hours a day for 6 days mow an area of 5 acres..If there are 8 men working 4 hours a day to mow 4 acres of land, how many days will it take???
A shopkeeper bought locks at a rate of 8 locks for Rs 34 and sold them at a rate of 12 locks for Rs 57. Calculate:
1. his gain percent and
2. the number of locks he should sell to earn a profit of Rs 45. (PLZ answer soon exam approaching)
1. If 72 men can do a piece of work in 25 days, how many days will 30 men do it?
2. If 20 men can reap field in 8 days, then 16 men will reap the same field in how many days?
3. A Train is moving at a uniform speed of 72 Kms. per hour.
a) How far will it travel in 25 minutes? b) Find the time required to cover a distance of 216 Kms.?
4. Walking at a speed of 4 Kms. per hour a man covers a certain distance in 2 hours 4 minutes. If he runs at a speed of 16.5 kmr. per hour, find the time taken by him to cover the same distance?
5. A certain number of men could do a piece of work in 60 days. If there were 8 more it could be finished in 10 days less. Find the number of men in the beginning?
6. If 12 Carpenters can make 480 Chairs in 24 days, how many Carpenters can make 1000 Chairs in 24 days?
24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
If 52 men can do a piece of work in 35 days,in how many days 28 men can do it?
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. Find the time taken by A alone to complete the work?
A contractor who had a work force of 630 persons, undertook to complete a portion of a stadium in 14 months. He was asked to complete the job in 9 months. How many extra persons had he to employ?
In an election, a candidate got 65% of the total valid votes. 8% of the total votes were declared invalid. If the total number of votes cast was 6,00,000. Find the number of valid votes polled in favour of the candidate. (plz answer its urgent ,exam is approacing)
The principal sanctioned a certain amount to the librarian to purchase some math books . she scould buy 80 books costing RS.90 each from the local book seller. then she approched to the publisher who offered her a 20% discount. ind the number of copies of math books which she could buy form the publisher for the sanctioned money ??
Question 6:
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Let the length of the mast of the model ship bexcm.
The given information in the form of a table is as follows:

Height of mast
Length of ship
Model ship
9 cm
x
Actual ship
12 m
28 m
We know that the dimensions of the actual ship and the model ship are directly proportional to each other.
Therefore, we obtain:
Thus, the length of the model ship is 21 cm.
in the answer why do we leave some units in m and some in cm .is it not mistake to do that.
A train 140m long running at speed of 60km/h. In how much time will it pass a platform 260m long?
a hostel of college having 320 students has a stock of food for 80 days. if 20 students leave the hostel after 20 days , for how many more days will the food last
An army regiment has provision for 400 soldiers for 80 days.After 10 days,50 soldiers moved out of the regiment.How long would the food last at the same rate?
1200 soldiers in a fort had enough food for 28 days.after 4 days some soldiers were transferred to another fort and thus the food lasted for 32 more days.how many soldiers left the fort.
A Potter can make 80 pots of same size in 1 hour. How much time will 4 pdtters take to make 80 pots of same size . Also find in how much time 5 potters will make 120 pots.
Chalk contains 10% calcium, 3% carbon and 12% oxygen. Find the amount (in grams) of each of these compounds in 1 kg of chalk. (plz answer soon exam is approaching)
1. Udit can complete his work in 10 days. What amount of work will be completed in 8 days?
2. A train 150m long is running at a speed of 72 km/hr. It crosses a bridge in 13 seconds. Find the length of the bridge
3. If x and y vary inversely and x = 25, when y = 3. Find y, when x =15 (explain with the whole process)
600 soldiers in afort had enough food for 14days .After 4days some soldiers were transferred to another fort and thus the food lasted for30more days . How many soldiers left the fort
If 18 Dolls Cost Rs.630, How Many Dolls Can Be Bought For Rs.455?
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
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Syllabus
the capus of college having 320 students having stock of food for 80 days if 20 students leave the campus after 20 days how many more days will the foods last?
How to identify whether it is Direct or Inverse proportion?
2 men can do a peice of work in 6 hours and 4 hours respectively. After the first has worked for 2 hours' he is joined by the other. By when should the work be compleated?
it is direct or inverse
If the weight of 12 sheets of thick paper is 40 grams,how many sheets wud weigh 2 an a half???
Plz solve it it's urgent!!!!
By the.method of direct and inverse proportion!!!!!
A can do a piece of work in 14 days while B can do it in 21 days. They began together and worked at it for 6 days. Then, A fell ill and B had to complete the remaining work alone. In how many days was the work completed?
manda and rajni can sow a field in 20 days. Manda can sow 1/3 of the field in 12 days. How long will Rajni take to sow the entire field by herself?
500 soldiers in a fort had enough food for 30 days . after 6 days, some soldiers were sent to another fort and thus the food lasted for 32 more days . how many soldiers left the fort ?
If 45 men can do a piece of work in 49 days, in how many days will 35 men do it?
The C.P of two watches taken together is Rs 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no gain or loss in the whole transaction then find the C.P of each watch.(PLZ answer soon exam is approaching)
if p=4q, then p and q vary ________ with each other
a) inversely
b) directly
c) insufficient information
a car travels a distance of 715km at a uniform speed.if the speed of the car is 10 km/hr more , it takes 2 hrs less to cover the same distance.find the original speed of the car
a shopkeeper buys an article for Rs 400 ana marks it for sale at a price that may give him 80% profit on his cost. he,however gives 15% discount on the marked price to his customer.
calculate:
i) the marked price of the article,
ii) the discount in rupees given to the customer,
iii) the actual percentage profit made by the shopkeeper.
8 persons can earn Rs 6000 in 5 days. What amountwill 3 persons earn in 12 days?
A shopkeeper marks his goods 20% higher above the cost price and also gives a discount of 10%. Find his gain percent.
A school librarian has enough money to order 8 paper back books at Rs.7.50 per book. If he decides instead to order hard cover books at Rs.10 per book, how many books can he buy?
In a hostel it costs Rs. 1800 to keep 50 children for 8 weeks. For what length of time did the cost of keeping 90 children amount to Rs. 21060 ?
An employer reduces the number employers in the ratio 15:8 and increases their wages in the ratios 14:25. In whatratio, the wages bill is increased or decreased.
The sum of two numbers is 28/25 of the first number. The second number is what percent of the first? (plz ans soon exam is aproaching)
A garrison of 120 men has provision for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?
what is meant by compound proportion?
a water tank has three inlets. inlet 1 can fill the tank in 30 min...inlet 2 can fill it in 40min... inlet 3 can fill it in 60 min... if all the three inlets are opened together how long will it take to fill the tank..
An electric pole 14m high casts a shadow of 10m. Find the height of a tree that casts a shadow of 15m under similar conditions.
A shopkeeper sold an article at a gain of 5%. If he had sold it for Rs 16.50 less, he would have lost 5%. Find the C.p of the article.
40kg of rice lasts 30 days in a family of 8 persons. If 2 guests stay with the family,how many days will 40kg of rice last????
What is proportion?
A shopkeeper buys two T.V sets of the same type. He sells one of them at a profit of 20% and the other at a loss of 5%. If the difference in selling prices is Rs 700, find the cost price of each T.V set
8. A train 210 m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train.
The scale of a map is 1:3 x 10^{7 }. Two cities are 5cm apart on a map. Find the actual distance between them in km.
A father gives 1% of his monthly income to his two son as pocket money.the elder son gets 80% of the total amount of money and he spends 80% of his share . If he save Rs 20 per month. Determine father's monthly income. (Plz answer this Question soon, exam is approaching)
if three persons can weave 168 shawls in 14 days ,how many shawls will be woven by 8 persons in 5 days.
If a man travels 65 km in 3 days by walking 7.1/2hours a day, in how many days will he travel 156 km by walking 8hours a day
1. At what time will he reach his friend's house?
2. Find his average speed correct to one place of decimal.
In a hostel, 100 students had provisions for 130 day. after 10 days 20 students left the hostel. how long would the remaining food last?
difference between direct and inverse proportion ....
plz tell me fast ...............
1. y = 8x 2. y = 3/4x 3. xy=5 4. y=3/x 5.y+4x=0 6. y3x=1
7. $\begin{array}{ccccc}x& 1& 2& 3& 4\\ y& 5& 10& 15& 20\end{array}$
A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel. How much long the remaining food will last? Please help me solve this tricky question. Thanks.
8 taps having the same rate of flow ,fill the tank in 27 minutes .if 2 tapes ,go out of order how long will the remaining tapes take to fill the tank ???
A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
A hostel spends Rs.3200 as cost of rice for 20 students for 30 days.If they spend Rs.2400 for 30 students,for how many days will the rice last?
shashi weaves 25 basketsin 35 days.In how many days will she weave 110 baskets
i am nt able to understand this
A contractor employed 210 men to build a house in 60 days . After 12 days , he was joined by 70 more men. in how many days willthe remaining worh be finished?
John bought two horses at Rs 20000 each. He sold one horse at 15% gain. But he had to sell the second horse at a loss. If he had suffered a loss of Rs 1800 on the whole transaction, find the selling price of the second horse. (PLZ answer soon exam approaching)
A loaded truck travels 14 km in 25 min. If the speed remains the same,how far can it travel in 5 hrs?
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
If 8 Oranges Cost Rs.10.40, How Many Oranges Can Be Bought For Rs.33.80?
plzz help me in this question......
10 men working for 5 hours a day for 6 days mow an area of 5 acres..If there are 8 men working 4 hours a day to mow 4 acres of land, how many days will it take???
A shopkeeper bought locks at a rate of 8 locks for Rs 34 and sold them at a rate of 12 locks for Rs 57. Calculate:
1. his gain percent and
2. the number of locks he should sell to earn a profit of Rs 45. (PLZ answer soon exam approaching)
26. A man can row 20 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the speed of the stream.
(a) 8 kmph (b) 10 kmph
(c) 12 kmph (d) 15 kmph
1. If 72 men can do a piece of work in 25 days, how many days will 30 men do it?
2. If 20 men can reap field in 8 days, then 16 men will reap the same field in how many days?
3. A Train is moving at a uniform speed of 72 Kms. per hour.
a) How far will it travel in 25 minutes? b) Find the time required to cover a distance of 216 Kms.?
4. Walking at a speed of 4 Kms. per hour a man covers a certain distance in 2 hours 4 minutes. If he runs at a speed of 16.5 kmr. per hour, find the time taken by him to cover the same distance?
5. A certain number of men could do a piece of work in 60 days. If there were 8 more it could be finished in 10 days less. Find the number of men in the beginning?
6. If 12 Carpenters can make 480 Chairs in 24 days, how many Carpenters can make 1000 Chairs in 24 days?
24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
If 52 men can do a piece of work in 35 days,in how many days 28 men can do it?
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. Find the time taken by A alone to complete the work?
A contractor who had a work force of 630 persons, undertook to complete a portion of a stadium in 14 months. He was asked to complete the job in 9 months. How many extra persons had he to employ?
In an election, a candidate got 65% of the total valid votes. 8% of the total votes were declared invalid. If the total number of votes cast was 6,00,000. Find the number of valid votes polled in favour of the candidate. (plz answer its urgent ,exam is approacing)
The principal sanctioned a certain amount to the librarian to purchase some math books . she scould buy 80 books costing RS.90 each from the local book seller. then she approched to the publisher who offered her a 20% discount. ind the number of copies of math books which she could buy form the publisher for the sanctioned money ??
Question 6:
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Answer:Let the length of the mast of the model ship bexcm.
The given information in the form of a table is as follows:

Height of mast
Length of ship
Model ship
9 cm
x
Actual ship
12 m
28 m
We know that the dimensions of the actual ship and the model ship are directly proportional to each other.
Therefore, we obtain:
Thus, the length of the model ship is 21 cm.
in the answer why do we leave some units in m and some in cm .is it not mistake to do that.
A train 140m long running at speed of 60km/h. In how much time will it pass a platform 260m long?
a hostel of college having 320 students has a stock of food for 80 days. if 20 students leave the hostel after 20 days , for how many more days will the food last
An army regiment has provision for 400 soldiers for 80 days.After 10 days,50 soldiers moved out of the regiment.How long would the food last at the same rate?
1200 soldiers in a fort had enough food for 28 days.after 4 days some soldiers were transferred to another fort and thus the food lasted for 32 more days.how many soldiers left the fort.
A Potter can make 80 pots of same size in 1 hour. How much time will 4 pdtters take to make 80 pots of same size . Also find in how much time 5 potters will make 120 pots.
Chalk contains 10% calcium, 3% carbon and 12% oxygen. Find the amount (in grams) of each of these compounds in 1 kg of chalk. (plz answer soon exam is approaching)
1. Udit can complete his work in 10 days. What amount of work will be completed in 8 days?
2. A train 150m long is running at a speed of 72 km/hr. It crosses a bridge in 13 seconds. Find the length of the bridge
3. If x and y vary inversely and x = 25, when y = 3. Find y, when x =15 (explain with the whole process)
600 soldiers in afort had enough food for 14days .After 4days some soldiers were transferred to another fort and thus the food lasted for30more days . How many soldiers left the fort
If 18 Dolls Cost Rs.630, How Many Dolls Can Be Bought For Rs.455?
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?