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

### Set A

1. A vendor buys oranges at Rs. 2 for 3 oranges and sells them at a rupee each. To make a profit of Rs. 10, he must sell :

(A) 10 oranges

(B) 20 oranges

(C) 30 oranges

(D) 40 oranges

2. Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment (in rupees) was :

(A) 20000

(B) 15000

(C) 12000

(D) 10000

3. The manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60 each. If costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of Rs. 3000 per week in order to operate the plant. The number of units he should produce and sell in order to make a profit of at least Rs. 1000 per week, is :

(A) 400

(B) 300

(C) 250

(D) 200

4. A man gains 10% by selling an article for a certain price. If he sells it at double the price, the profit made is :

(A) 20%

(B) 60%

(C) 100%

(D) 120%

5. If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets Rs. 6 more. The cost price of the article is :

(A) Rs. 50

(B) Rs. 94

(C) Rs. 100

(D) Rs. 106

6. A radio is sold at a gain of 16%. If it had been sold for Rs. 20 more, 20% would have been gained. The cost price of the radio is :

(A) Rs. 350

(B) Rs. 400

(C) Rs. 500

(D) Rs. 600

7. Profit after selling an article for Rs. 425 is the same as loss after selling it for Rs. 355. The cost of the article is :

(A) Rs. 385

(B) Rs. 390

(C) Rs. 395

(D) Rs. 400

8. A merchant sold his goods for Rs. 75 at a profit percent equal to its cost price. The cost price was :

(A) Rs. 40

(B) Rs. 42

(C) Rs. 37.50

(D) Rs. 50

9. A sold a watch to B at a gain of 5% and B sold it to C at a gain of 4%. If C paid Rs. 1092 for it, the price paid by A is :

(A) Rs. 993.72

(B) Rs. 996

(C) Rs. 1000

(D) Rs. 995.90

10. An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. The gain per cent at original price is :

(A) 33 (1/3 )%

(B) 35%

(C) 40%

(D) 20%

Answers and solution:

1.(c)

suppose he sells x oranges.Then,

C.P. = Rs.(2/3*x) = Rs.2x/3 and S.P. = Rs.x

so x -2x/3 = 10 or x = 30

2. (b)

Let the value of the consignment be Rs. x.

Then, (105% 0f 2x/3 + 98% of x/3) - x = 400

=> 7x/10 + 49x/150 - x = 400

=> 105x + 49x - 150x = 400*150

=> x = 15000.

3. (d)

4. (d)

5. (a)

Let C.P = Rs.x. Then,

106% of x - 94% of x = 6

12% of x = 6

so x = (6*100/12) = 50

6. (c)

7. (b)

Let C.P. be Rs. x. Then

425 - x = x - 355 => 2x = 780

x = 390

8. (d)

9. (c)

10. (b)

Let C.P be Rs. 100

Then S.P at 10% loss = Rs. 90.

2/3 of actual S.P. = Rs. 90 => Actual S.P. = (90*3/2) = Rs. 135

so Gain = 35 %

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

### Set B

1. A cricket player makes 200 runs in the 15th over. In doing so, his average at the end of the 14th over increases by 10. What was his average at the end of 15th over?

(a) 60

(b) 50

(c) 40

(d) 45

2. Average weight of three students P, T and R is 56 (1/6)kgs, while the average weight of three students T, F and G is 54 kg. What is average of P, T, F and G is

(a) 55.4 kg

(b) 54.8 kg

(c) data inadequate

(d) 55.5 kg

3. A body weighs 121 grams and 125. 44 grams on two different pans of a faulty balance. Its true weight will be:

(a) 4.44 gms

(b) 120 gms

(c) 123.22 gms

(d) 130 gms

4. The average of three consecutive odd numbers is 14 more than one-third of the first of these numbers. What is the last of these numbers?

(a) 17

(b) 19

(c) 15

(d) data inadequate

5. The captain of a cricket team of 11 players is 25 years and the wicket keeper is 3 years older. If the age of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average age of the whole team is

(a) 24 years

(b) 21 years

(c) 26 years

(d) 22 years

6. In a coconut groove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year is per tree be 100. Then the value of x is

(a) 8

(b) 4

(c) 12

(d) 10

7. After a certain number of matches, a bowler has had 200 runs knocked off him. In the next match, he takes 3 wickets for 52 runs and his average goes up by 1. The new average of the bowler is

(a) 9

(b) 8 (1/3)

(c) 9 (1/3)

(d) either (a) or (c)

8. A batman has scored an average of 46 runs for a certain number of innings played in England. When he came back to India. He played another two test matches of two innings each and scored at an average of 55 runs. For the innings in England and in India taken together, he has improved his average by 2 runs over the matches played in England. The number of innings played in England was

(a) 7

(b) 9

(c) 14

(d) 18

9. A batsman’s scores in a particular innings is twice the average score in 4 previous innings. The percentage improvement in his average scored now is:

(a) 6

(b) 20

(c) 5

(d) 10

10. Among three numbers, the first number is thrice the second number and one-fourth of the third number. The average of all three numbers is 64. What is the average of first and third number?

(a) 30

(b) 24

(c) 90

(d) 78

Answers and Solution:

1. (a)

(14x+200)/15 = x+10

x = 50

(14*50+200)/15 = 60

2. (c)

3. (c)

True weight = (121+125.44)/2= 123.22

4. (d)

5. (d)

6. (b)

7. (d)

8. (c)

9. (b)

10.(c)

First number = 3x

second number = x

third number = 12x

Average of three number = 64

3x+x+12x = 64*3

x = 12

Average of first and third number = (15*12)/2 = 90

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