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

### Set A

1. Mohan bought a SONY cyber shot with 20% discount on list price. If he bought it with 24% discount, he would have saved Rs. 800. At what price he did buy?

(a) Rs. 20000

(b) Rs. 16000

(c) Rs. 12000

(d) Rs. 10000

2. A shopkeeper bought pens at the rate of 7 for Rs. 10 and sold them at a profit of 40%. How many pens would customer get for Rs. 14?

(a) 7

(b) 10

(c) 9

(d) 11

3. Two solutions of 90% and 97% purity are mixed, resulting in 21 L of mixture of 94% purity, The quantity of the second solution in the resulting mixture, in litre, is

(a) 16

(b) 10

(c) 14

(d) 12

4.A dishonest shopkeeper professes to sell goods at his cost price, but uses a false weight, thereby gaining 6(18/47)%. How much weight he uses for 1 kg?

(a) 950 gm.

(b) 940 gm.

(c) 965 gm.

(d) None

5.A candidate needs 850 marks to pass in an exam. If a candidate A gets 800 and fails by 5%, then full marks in the examination is

(a) 1600

(b) 1700

(c) 1000

(d) 1200

6. Two numbers are less than the third number by 50% and 55% respectively. By how much percent is the second number less than the first number?

(a) 10

(b) 9(1/11)

(c) 11(1/9)

(d) None

7. Ram’s weight is 140% of Shyam’s weight. Anil’s weight is 90% of Gaurav’s weight. Gaurav is twice as much as Shyam's weight. If Ram’s weight is b% of Anils weight, then b is

(a) 80

(b) 58 (1/5)

(c) 77 (7/9)

(d) 61 (3/7)

8. If 15a + 15b = 108, then the average of a and b is

(a) 3 (1/2)

(b) 3 (3/5)

(c) 7 (1/5)

(d) Cannot be determined

9.In a mixture of milk and water, the proportion of water by weight was 80%. If in 80%. If in 80 gm. Of mixture 16 gm water was added, then percentage of water will be

(a) 100%

(b) 75%

(c) 66 (2/3)%

(d) 83 (1/3)%

10.Twelve percent of Kaushal’s monthly salary is equal to sixteen percent of Nandini’s monthly salary. Suresh’s monthly salary is half that of Nandini’s monthly salary. If Suresh’s annual salary is Rs. 1.08 lacs. What is Kaushal’s monthly salary?

(a) Rs. 20000

(b) Rs. 18000

(c) Rs. 26000

(d) Rs. 24000

Answers and Solution:

1. (b)

Difference of (24-20) = 4% of list price is Rs. 800

=> List price = 800/4%

So cost price = 80% of list price = 80*800/4 = 16,000

2. (a)

Cost price of 1 pen = 10/7,sale price of 1 pen = (1.4*10)/7 = Rs.2

No. of pens = 14/2 = 7

3. (d)

4. (b)

Using (100+G)/(100+x) = true weight/false weight so cp = sp

so x = 0, put G = 300/47

(100+300/47)/(100+0) = 1/false weight

so false weight = 940 gm

5. (c)

5% of full = 850 - 800 => full = 50/5*100 = 1000

6. (a)

7. (c)

8. (b)

9. (d)

80 gm mixture has 80% of 80 = 64 gm water and 16 gm milk

After adding 16 gm water , new % of water = (64+16)/(80+16)*100 = 83(1/3)

10. (d)

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

### Set B

1.Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5?

(1) 7 : 9

(2) 9 : 8

(3) 9 : 7

(4) 5 : 6

2.In what ratio must wheat at Rs.3.20 per kg be mixed with wheat at Rs.2.90 per kg so that the mixture be worth Rs.3.08 per kg?

(1) 3 : 4

(2) 3 : 3

(3) 3 : 2

(4) 4 : 5

3.There are two sections A and B of a class, consisting of 36 and 44 students’ respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

(1) 38 kg

(2) 38.30 kg

(3) 37.25 kg

(4) 36 kg

4.The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:

(1) 30

(2) 28.68

(3) 29.68

(4) 30.68

5.If each of the three non-zero numbers a , b , and c is divisible by 3, then abc must be divisible by which one of the following the numbers?

(1) 8

(2) 81

(3) 27

(4) 122

6.Find the remainder when 2^89 is divided by 89?

(1) 1

(2) 2

(3) 88

(4) 89

7.A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

(1) 44 5/11%

(2) 45 5/11 %

(3) 40 5/11%

(4) 30 %

8.In the new budget , the price of kerosene oil rose by 15%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase (approx.)?

(1) 13.04

(2) 10

(3) 9

(4) 15

9.The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.

(1) 18

(2) 16

(3) 17

(4) 15

10.After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. If the second discount is 12.5, find the first discount?

(1) 10%

(2) 25%

(3) 20 %

(4) 30 %

Answers key:-

01. 1

02. 3

03. 3

04. 3

05. 3

06. 2

07. 2

08. 1

09. 2

10. 3

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