**Find solutions for all the questions at the end of each set:**

### Set A

1. A sum of Rs .731 is distributed among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share in the amount?

(1) Rs 172

(2) Rs 200

(3) Rs 262

(4) Rs 272

2. Manoj sold an article for Rs 15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the selling price?

(1) Rs 12,500

(2) Rs 13,500

(3) Rs 12,250

(4) Rs 13,250

3. What will be the compound interest accrued on an amount of Rs 10,000 @20p.c.p.a. in two years if the interest is compounded half-yearly?

(1) Rs 4,400

(2) Rs 4,600

(3) Rs 4,641

(4) Rs 4,680

4. The average weight of 4 men is increased by 3kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?

(1) 125 kg

(2) 150 kg

(3) 122 kg

(4) 132 kg

5. B and C together can complete a piece of work in 8 days. A and B can complete the same work in 12 days and A and C can complete the same work in 16 days. In how many days can A, B and C together can complete the work?

(1) 33⁄9

(2) 75⁄13

(3) 75⁄12

(4) 35⁄12

6. The average speed of a car is 14⁄5 times the average speed of the bus. A tractor covers 575km in 23 hours. How much distance the car cover in 4 hours of the speed of the bus is twice the speed of the tractor?

(1) 340 km

(2) 480 km

(3) 360 km

(4) 450 km

7. A pump can fill a tank with water in 2 hours. Because of the leak, it took 21⁄3 hours to fill the tank. The leak can drain all the water of the tank in:

(1) 41⁄3 hours

(2) 7 hours

(3) 8 hours

(4) 14 hours

8. A shopkeeper mixed two verities of rice at Rs. 20/kg and Rs. 30/kg in the ratio 2 : 3 and sell the mixture at 10% profit. Find the price per kg at which he sold the mixture?

(1) Rs. 26

(2) Rs. 28.8

(3) Rs. 28

(4) Rs. 28.6

9. The ratio of the present ages of Anju and Sandhya is 13:17 respectively. Four years ago the ratio of their respective ages was 11:15. What will be the respective ratio of their ages six years hence?

(1) 3:4

(2) 7:8

(3) 5:4

(4) 4:5

10. A shopkeeper bought 30 kg of wheat at the rate of Rs 45 per kg. He sold 40% of the total quantity at the rate of Rs 50 per kg. Approximately, at what price per kg should he sell the remaining quantity to make a profit of 25% overall?

(1) Rs 54

(2) Rs 52

(3) Rs 50

(4) Rs 60

Answers Key:

1. (4)

2. (1)

3. (3)

4. (4)

5. (2)

6. (3)

7. (4)

8. (4)

9. (4)

10.(4)

**Find solutions for all the questions at the end of each set:**

### Set B

1.The pressure of a definite mass of a gas is directly proportional to the temperature and inversely proportional to the volume under the given conditions. If temperature is increased by 40% and volume is decreased by 20% then the new pressure will be

(a) increased by 75%

(b) reduced to 25%

(c) increased by 20%

(d) increased by 28%

2.The ratio of cost price and the marked price of an article is 2 : 3 and ratio of percentage profit and percentage discount is 3 : 2. What is the discount percentage?

(a) 16.66%

(b) 20%

(c) 25%

(d) 33.33%

3. A trader sells 20 kg of sugar at Rs.400. A customer asks 20% discount and he agreed to it but instead of 1 kg he gives 4% less sugar. What is the effective discount that the customer gets?

(a) 16%

(b) 16.66%

(c) 15.5%

(d) 19.6%

4. An article is sold for Rs.500 cash or for Rs.150 cash down payments followed by 5 equal monthly installments. If the rate of interest charged is 18% per annum, calculate the monthly installment.

(a) Rs. 63.07

(b) Rs.37.06

(c) Rs.75.06

(d) Rs. 73.06

5.The ratio of the amount for two years under CI annually and for one year under SI is 6 : 5, when the principal and rate of interest is same, then the value of rate of interest is same, then the value of rate of interest is

(a) 12.5%

(b) 18%

(c) 20%

(d) 16.66%

6. When A, B and C are deployed for a task, A and B together do 70% of the work and B and C together do 50% of the work. Who is most efficient?

(a) A

(b) B

(c) C

(d) Can’t be determined

7. A girl walking diametrically across a semi-circular playground, takes 3 mins less than if she had kept walking round the circular path from A to B. If she walks 60 mts in a minute, then find the diameter of the playground.

(a) 60 m

(b) 48 m

(c) 84 m

(d) 315 m

8. A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for

(a) 12 1/4 days

(b) 14 days

(c) 24 1/2 days

(d) 12 days

9. A dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from wholesaler and sells 10% less per kg to customer. What is the overall profit percentage?

(a) 80%

(b) 60%

(c) 70%

(d) None of these

10. A pipe of diameter d can drain a certain amount of water tank in 40 mins. The time taken by a pipe of diameter 2d for doing the same job in

(a) 5 mins

(b) 10 mins

(c) 20 mins

(d) 80 mins

ANSWERS KEY:

1- (a)

2- (a)

CP : MP = 2 : 3

Let CP = 200, SP = 300

% profit : % discount = 3x : 2x

ATQ,

3x/100*200+2x/100*300 = 100

x = 8.33%

Discount = 2x = 16.66%

3- (b)

Let the MP = Rs.1 per kg then

weight MP Rate

100 100 1

96 80/SP 80/96

Effective discount = 1-80/96 = 16/96

% discount = 16/96*100 = 16.66%

4- (d)

5- (c)

6- (a)

7- (d)

8- (d)

9- (a)

10- (b)

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