Rs Aggarwal 2017 Solutions for Class 7 Math Chapter 11 Profit And Loss are provided here with simple step-by-step explanations. These solutions for Profit And Loss are extremely popular among Class 7 students for Math Profit And Loss Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2017 Book of Class 7 Math Chapter 11 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2017 Solutions. All Rs Aggarwal 2017 Solutions for class Class 7 Math are prepared by experts and are 100% accurate.
Page No 157:
Question 1:
Find the SP when:
(i) CP = Rs 950, gain = 6%
(ii) CP = Rs 9600, gain =
(iii) CP = Rs 1540, loss = 4%
(iv) CP = Rs 8640, loss =
Answer:
(i) CP = Rs. 950
Gain = 6%
(ii) CP = Rs. 9600
Gain =
(iii) CP = Rs. 1540
Loss = 4%
(iv) CP = Rs. 8640
Loss =
Page No 157:
Question 2:
Find the gain or loss per cent when:
(i) CP = Rs 2400 and SP = Rs 2592
(ii) CP = Rs 1650 and SP = Rs 1452
(iii) CP = Rs 12000 and SP = Rs 12800
(iv) CP = Rs 1800 and SP = Rs 1611
Answer:
(i) CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. ( 2592 - 2400) = Rs. 192
Gain% = =
(ii) CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = ( 1650 - 1452) = Rs. 198
Loss% =
(iii) CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = ( 12800 - 12000) = Rs. 800
Gain% =
(iv) CP = Rs. 1800
SP = Rs. 1611
Loss = CP - SP = ( 1800 - 1611) = Rs. 189
Loss% =
Page No 157:
Question 3:
Find the CP when:
(i) SP = Rs 924, gain = 10%
(ii) SP = Rs 1755, gain =
(iii) SP = Rs 8510, loss = 8%
(iv) SP = Rs 5600, loss =
Answer:
(i) SP = Rs. 924
Gain = 10%
(ii) SP = Rs. 1755
Gain =
(iii) SP = Rs. 8510
Loss = 8%
(iv) SP = Rs. 5600
Loss =
Page No 157:
Question 4:
Sudhir bought an almirah for Rs 13600 and spent Rs 400 on its transportation. He sold it for Rs 16800. Find his gain per cent.
Answer:
Cost price of an almirah = Rs. 13600
Transportation cost = Rs. 400
Total cost price = Rs. (13600 + 400) = Rs. 14000
Selling price = Rs. 16800
Now, SP > CP
( 16800 - 14000) = Rs. 2800
%
%
Page No 157:
Question 5:
Ravi purchased an old house for Rs 765000 and spent Rs 115000 on its repairs. Then, he sold it at a gain of 5%. How much did he get?
Answer:
Cost price of the house = Rs. 765000
Cost of repairing the house = Rs. 115000
Total Cost price = (765000 + 115000) = Rs. 880000
Ravi sold it at a gain of 5%.
He gets Rs. 924000.
Page No 157:
Question 6:
A vendor busy lemons at Rs 25 per dozen and sells them at the rate of 5 for Rs 12. Find his gain or loss per cent.
Answer:
CP of 12 lemons (dozen) = Rs. 25
CP of one lemon = Rs.
CP of five lemons = 5 ×
SP of five lemons = Rs. 12 (given)
Gain = SP - CP = ( 12 - 10.42 ) = Rs 1.58
%
%
= 15.2%
Page No 157:
Question 7:
The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain per cent.
Answer:
Let the cost price of the pen be Re 1.
Cost price of 12 pens = Rs 12
SP of 12 pens = CP of 15 pens = Rs 15
Gain = SP - CP = Rs (15 - 12) = Rs 3
%
Gain% = 25%
Page No 157:
Question 8:
The selling price of 16 spoons is equal to the cost price of 15 spoons. Find the loss per cent.
Answer:
Let the cost price of one spoon be Re 1.
CP of 16 spoons = Rs 16
SP of 16 spoons = CP of 15 spoons = Rs 15
Loss = CP - SP = (16 - 15) = Re 1
Loss% = 6.25%
Page No 157:
Question 9:
Manoj purchased a video for Rs 12000. He sold it to Rahul at a gain of 10%. If Rahul sells it to Rakesh at a loss of 5%, what did Rakesh pay for it?
Answer:
Cost price of a video = Rs. 12000
SP of a video at a gain of 10% =
So, Rahul purchased at a cost price of Rs. 13200.
Rahul sells it at a loss of 5%.
SP of a video at loss of 5% =
∴ Rakesh pays = Rs. 12540
Page No 157:
Question 10:
On selling a sofa-set for Rs 21600, a dealer gains 8%. For how much did he purchase it?
Answer:
SP of the sofa set = Rs. 21600
Gain% = 8
He purchased it at the cost of Rs. 20000.
Page No 157:
Question 11:
On selling a watch for Rs 11400, a shopkeeper loss 5%. For how much did the purchase it?
Answer:
SP of the watch = Rs 11400
Loss% = 5
He purchased it at the cost of Rs. 12000.
Page No 157:
Question 12:
On selling a calculator for Rs 1325, a man gains 6%. For how much should he sell it to gain 12%?
Answer:
SP of the calculator = Rs. 1325
Gain % = 6
CP of the calculator =
Page No 157:
Question 13:
On selling a computer for Rs 24480, a dealer loses 4%. For how much should he sell it to gain 4%?
Answer:
SP of a computer = Rs. 24480
Loss% = 4
In order to gain 4%:
Page No 157:
Question 14:
A tricycle is sold at a gain of 15%. Had it been sold for Rs 108 more, the profit would have been 20%. Find its cost price.
Answer:
Let the CP of the tricycle be Rs. x
SP at 15% gain =
SP at 20% gain =
Hence, the cost price of the tricycle is Rs. 2160
Page No 157:
Question 15:
Sandeep sold a television at a loss of 8%. If he had sold it for Rs 3360 more, he would have gained 6%. For how much did Sandeep buy it?
Answer:
Let CP of a television be Rs x.
SP at 8% loss =
100
SP at 6% gain =
⇒
⇒
∴ CP = Rs. 24000
Sandeep bought it at the cost of Rs. 24000.
Page No 157:
Question 16:
Pankaj sells two cycles for Rs 2376 each. On one he gains 10% and on the other he loss 10%. Find his gain or loss per cent.
Answer:
SP of each cycle = Rs. 2376
He gains 10% in one cycle.
CP =
He looses 10% in the second cycle.
CP =
Total CP =
Total SP =
Loss = CP - SP =
= %
Page No 157:
Question 17:
On selling an exhaust fan for Rs 7350, a man gains of its cost price. Find the cost price of the fan.
Answer:
Let the CP of the exhaust fan be Rs. x.
Gain =
SP =
SP = Rs. 7350
∴
⇒
⇒
CP of the fan = Rs. 6300
Page No 157:
Question 18:
Mohit sold a watch to Karim at a gain of 10% and Karim sold it to Rahim at a gain of 4%. If Rahim pays Rs 14300 for it, for how much did Mohit purchase it?
Answer:
Mohit sold a watch to Karim at Rs. x.
Mohit sold it at a gain of 10%.
SP of the watch =
=
Karim sold it to Rahim at a gain of 4%.
SP of the watch =
But, Rahim pays Rs. 14300.
∴
Mohit purchased it at Rs. 25000.
Page No 157:
Question 19:
If the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25% then what is the production cost of a washing machine whose retail price is Rs 37950?
Answer:
Let the production cost of a washing machine be Rs. x.
Profit of the manufacturer = 10%
SP of the manufacturer =
=
Profit of the wholesale dealer = 15%
SP of the wholesale dealer =
=
Profit of the retailer = 25%
SP of the retailer =
=
Given:
Retail price = Rs. 37950
∴
=> x=
∴ Production cost of a washing machine = Rs. 24000
Page No 157:
Question 20:
Mr Mehta purchased a video for Rs 20000 and a television for Rs 30000. On the video he lost 5% and on the television he gained 8%. Find his total gain or loss per cent.
Answer:
Mr. Mehta purchased a video at the cost of Rs. 20000.
Mr. Mehta purchased a television at the cost of Rs. 30000.
Total cost = Rs. (20000 + 30000) = Rs. 50000
He lost 5% on the video.
He gained 8% on the television.
Total SP =
Total CP = Rs. 50000
Total Gain = SP - CP =
Page No 158:
Question 21:
By selling 36 oranges, a vendor suffers a loss equal to the selling price of 4 oranges. Find his loss per cent.
Answer:
Let the CP of 1 orange be Rs. x.
∴ CP of 36 oranges = Rs. 36x
Let SP of orange be Rs. y.
∴ SP of 36 oranges = Rs. 36y
Loss = SP of 4 oranges = (given)
We know:
Loss = CP - SP
⇒
⇒
⇒
⇒
⇒
%
%
Loss% = 10%
Page No 158:
Question 22:
By selling 8 dozen pencils, a shopkeeper gains the selling price of one dozen pencils. Find his gain per cent.
Answer:
Let the CP of one pencil be Rs. x.
Therefore, the CP of 96 pencils will be Rs. 96x.
Let SP of one pencil be Rs. y.
∴ SP of 96 pencils = Rs. 96y
Gain= SP of one dozen pencil = Rs.12y (given)
Gain = SP - CP
Page No 158:
Question 1:
Mark (✓) against the correct answer
A man buys a book for Rs 80 and sells it for Rs 100. His gain % is
(a) 20%
(b) 25%
(c) 120%
(d) 125%
Answer:
(b) 25%
CP of the book = Rs. 80
SP of the book = Rs. 100
Gain = SP - CP = Rs. (100 - 80) = Rs. 20
Page No 158:
Question 2:
Mark (✓) against the correct answer
A football is bought for Rs 120 and sold for Rs 105. The loss % is
(a)
(b)
(c)
(d)
Answer:
(a)
CP of a football = Rs. 120
SP of a football = Rs. 105
CP>SP
∴ Loss = CP - SP = Rs. ( 120 - 105 ) = Rs. 15
Page No 158:
Question 3:
Mark (✓) against the correct answer
On selling a bat for Rs 100, a man gains Rs 20. His gain % is
(a) 20%
(b) 25%
(c) 18%
(d) 22%
Answer:
(b) 25%
SP of the bat = Rs. 100
Gain = Rs. 20
Gain = SP - CP
⇒ 20 = 100 - CP
⇒ CP = 100 - 20 = Rs. 80
Page No 158:
Question 4:
Mark (✓) against the correct answer
On selling a racket for Rs 198, a shopkeeper gains 10%. The cost price of the racket is
(a) Rs 180
(b) Rs 178.20
(c) Rs 217.80
(d) Rs 212.50
Answer:
(a) Rs. 180
SP of the racket = Rs. 198
Gain% = 10
Page No 158:
Question 5:
Mark (✓) against the correct answer
On selling a jug for Rs 144, a man loses of his outlay. If it is sold for Rs 189, what is the gain%?
(a) 50%
(b) 25%
(c) 30%
(d) 12%
Answer:
Let the cost price be Rs. x.
Loss =
∴ SP =
Given:
SP = Rs. 144
∴
⇒
∴ CP = Rs. 168
SP = Rs. 144
New SP = Rs. 189
Gain = SP - CP =
The correct answer is 12.5%.
All the given options are wrong.
Page No 158:
Question 6:
Mark (✓) against the correct answer
On selling a pen for Rs 48, a shopkeeper loses 20%. In order to gain 20% what would be the selling price?
(a) Rs 52
(b) Rs 56
(c) Rs 68
(d) Rs 72
Answer:
(d) Rs. 72
SP of the pen = Rs. 48
Loses = 20%
Then ,
In order to gain 20%:
Page No 158:
Question 7:
Mark (✓) against the correct answer
If the cost price of 12 pencils is equal to the selling price of 15 pencils, then the loss% is
(a) 20%
(b) 25%
(c) 3%
(d)
Answer:
(a) 20%
Let the cost price of each pencil be Rs.1
Cost of 15 pencils = Rs 15
SP of 15 pencil = CP of 12 pencil = Rs 12
∴ CP = Rs 15
SP = Rs 12
Loss = CP - SP =
Page No 158:
Question 8:
Mark (✓) against the correct answer
If the cost price of 4 toffees be equal to the selling price of 3 toffees, then the gain% is
(a) 25%
(b) 30%
(c)
(d)
Answer:
(d)
Let the cost price of each toffee be Rs. 1
Cost price of three toffees = Rs 3
SP of three toffees = CP of four toffees = Rs 4
CP = Rs 3
SP = Rs 4
Gain = SP - CP =
Page No 158:
Question 9:
Mark (✓) against the correct answer
On selling an article for Rs 144 a man loses 10%. At what price should he sell it to gain 10%?
(a) Rs 158.40
(b) Rs 172.80
(c) Rs 176
(d) Rs 192
Answer:
(c) Rs. 176
SP of an article = Rs. 144
Loss% = 10
In order to gain 10%:
Page No 159:
Question 10:
Mark (✓) against the correct answer
A vendor bought lemons at 6 for a rupee and sold them at 4 for a rupee. His gain % is
(a) 50%
(b) 40%
(c)
(d)
Answer:
(a) 50%
CP of six lemons = Re 1
CP of one lemon =
CP of four lemon =
SP of four lemon = Re 1
Gain =
Page No 159:
Question 11:
Mark (✓) against the correct answer
On selling a chair for Rs 720, a man gains 20%. The cost price of the chair is
(a) Rs 864
(b) Rs 576
(c) Rs 650
(d) Rs 600
Answer:
(d)Rs. 600
SP of the chair = Rs 720
Gain% = 20
Page No 159:
Question 12:
Mark (✓) against the correct answer
On selling a stool for Rs 630, a man loses 10%. The cost price of the stool is
(a) Rs 567
(b) Rs 693
(c) Rs 700
(d) Rs 730
Answer:
(c) Rs. 700
SP of a stool = Rs 630
Loss% = 10
Page No 160:
Question 1:
By selling a chair for Rs 1375 a man gains 10%. Find its cost price.
Answer:
SP of the chair = Rs 1375
Gain% = 10
Page No 160:
Question 2:
If the selling price of 10 pens is equal to the cost price of 14 pens, find gain per cent.
Answer:
Let the cost of each pen be Rs. 1
CP of 10 pens = Rs. 10
SP of 10 pens = CP of 14 pens = Rs. 14
Gain = SP - CP = 14-10= Rs. 4
Page No 160:
Question 3:
On selling a fan for Rs 2585 a man gains of its cost price. Find the cost price of tha fan.
Answer:
Let the cost price of the fan be Rs. x.
Gain =
SP of the fan =
SP of the fan =
∴
⇒
⇒
So, CP of the fan is Rs. 2350.
Page No 160:
Question 4:
A man buys lemons at 6 for Rs 10 and sells at 8 for Rs 15. Find his gain per cent.
Answer:
Cost price of six lemons = Rs. 10
Cost price of one lemon =
Cost price of eight lemons =
Selling price of eight lemons = Rs. 15
Gain% = %
%
%
Page No 160:
Question 5:
On selling a bat for Rs 486 a man loses 10%. Find the cost price of the bat.
Answer:
SP of the bat = Rs 486
Loss = 10%
CP of the bat =
CP of the bat = Rs 540
Page No 160:
Question 6:
Mark (✓) against the correct answer
On selling a football for Rs 100, a man gains Rs 15. The cost price of the football is
(a) Rs 115
(b) Rs 85
(c) Rs 70
(d) Rs 130
Answer:
(b) Rs 85
SP of a football = Rs 100
Gain = Rs 15
Gain = SP - CP
⇒ 15 = 100 - CP
⇒ CP = Rs (100 - 15)
⇒ CP= Rs 85
Page No 160:
Question 7:
Mark (✓) against the correct answer
A vendor buys lemons at Rs 25 per dozen and sells at 5 for Rs 12. His gain per cent is
(a) 14.5%
(b) 15%
(c) 15.2%
(d) 16%
Answer:
(c) 15.2%
Cost price of 12 bananas = Rs. 25
Cost price of one banana =
He sells five bananas at the cost (SP) of Rs. 12.
Gain = SP - CP
=
Page No 160:
Question 8:
Mark (✓) against the correct answer
On selling a jug for Rs 168, a man loses of his outlay. The cost price of the jug is
(a) Rs 144
(b) Rs 192
(c) Rs 196
(d) none of these
Answer:
(c) Rs. 196
Let the cost price of the jug be Rs. x.
Loss =
SP of the jug = CP - Loss
SP of the jug = (given)
∴
∴ CP of the jug =
Page No 160:
Question 9:
Mark (✓) against the correct answer
If the cost price of 5 bananas be equal to the selling price of 3 bananas, then gain per cent is
(a)
(b) 15%
(c)
(d) 40%
Answer:
(c)
Let the cost price of each banana be Re 1.
Cost price of three bananas = Rs. 3
SP of three bananas = CP of five bananas = Rs. 5
Gain = SP - CP =
Page No 160:
Question 10:
Fill in the blanks.
(i) Loss = (CP) − (......).
(ii) CP = .
(iii) Profit or loss is always reckoned on ...... .
(iv)
Answer:
(i) Loss = (CP) - (SP)
(ii) CP =
(iii) Profit or loss is always reckoned on the cost price.
(iv) = CP
Page No 160:
Question 11:
Write 'T' for true and 'F' for false
(i) Loss is reckoned on selling price.
(ii) Gain is reckoned on cost price.
(iii)
(iv) Loss = (CP) − (SP).
Answer:
(i) False
Gain or loss is always reckoned on the cost price.
(ii) True
(iii) True
(iv) True
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