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Q1. Identify as Direct Proportion or Inverse Proportion:
a) Amount of interest and rate of interest
b) Number of workers and their cost.
c) Work done by a number of labourers and time taken by them to do the work.
d) Speed of a racing car and time taken by it to reach the finishing line.
e) Area of land and its price.
f) Number of students and fees collected in a school.
g) Population of a state and area of land per person.
h) Time taken and distance travelled by a car.
i) Distance travelled in a journey and cost of ticket paid for journey.
j) Number of pens purchased and price paid for them.
Q2. 5 taps of equal capacity can fill a water tank in 40 minutes. How many taps of same capacity are required to fill the tank in 25 minutes?
Q3. At a particular time and a particular place, the shadow cast by a 10m high pole is 5.4 m long. Find the length of the shadow cast by a pole of length 7 m at the same place and at the same time.
Q4. 95 men have food provisions for 120 days. If 35 men died due to an epidemic, then for how many days will the food last?
Q5. Monika's typing speed is 1080 words per hour. How many words can she type in 18 min.?
Q6. A hospital supports 73 patients at an average monthly cost of 58,400. What is the amount spent if the number of patients is increased by 37?
Q7. The price of rice is Rs. 20/kg. I can buy 12 kg for Rs. 240. If the price goes up by Rs. 2/kg, how much rice can I buy for Rs. 240?
Q8. 500 soldiers in a fort had enough food for 30 days. After 6 days, some of the soldiers were sent to another fort and thus the food lasted for 32 more days. How many soldiers left the fort?
Q9. What should be the sales tax when cost of doll is Rs. 750 and sales tax is charged 5%. Also find bill amount.
Q10. Soham sells two watches for Rs. 1955 each gaining 15% on one and losing 15% other. Find the overall gain% or loss% on the whole transaction.
Q11. Mario invested Rs. 8,000 in a plan. She would be paid interest at 5% per annum calculated annually. Find: (i) the amount credited against his name at end of third year.
(ii) amount at the end of 1 1/2 years if comounded annually.

$Q1.\phantom{\rule{0ex}{0ex}}\left(a\right)DirectProportion-interestincreasesasrateofinterestincreases\phantom{\rule{0ex}{0ex}}\left(b\right)DirectProportion-higherthenumberofburgerspurchased,higheristheir\mathrm{cos}t\phantom{\rule{0ex}{0ex}}\left(c\right)InverseProportion-asthenumberofworkersincreases,thetotaltimetakenbythemtodothesameamountofworkreduces\phantom{\rule{0ex}{0ex}}\left(d\right)InverseProportion-speedandtimearealwaysinverselyrelated\phantom{\rule{0ex}{0ex}}\left(e\right)DirectProportion-biggertheareaofland,higheritsprice\phantom{\rule{0ex}{0ex}}\left(f\right)DirectProportion-morethenumberofstudents,morefeescollectedbyaschool\phantom{\rule{0ex}{0ex}}\left(g\right)InverseProportion-morethenumberofpeopleinastate,lesserthelandavailableforeachperson\phantom{\rule{0ex}{0ex}}\left(h\right)DirectProportion-longerthedis\mathrm{tan}ce,moretimetakentotravel\phantom{\rule{0ex}{0ex}}\left(i\right)DirectProportion-moredis\mathrm{tan}ceimplieshigher\mathrm{cos}tofticket\phantom{\rule{0ex}{0ex}}\left(j\right)DirectProportion-higherthenumberofpenspurchased,higheristhepricepaidforthem\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}Q5.\phantom{\rule{0ex}{0ex}}No.ofwordstypedinonehouror60minutes=1080\phantom{\rule{0ex}{0ex}}\therefore No.ofwordstypedin1minute=1080\xf760=18\phantom{\rule{0ex}{0ex}}\Rightarrow No.ofwordstypedin18minutes=18\times 18=324$

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