MISSION CGL MAINS 2015 : Quant Quiz

1.With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4 : 5 After 3 years, with the same rate of interest, the ratio of the principal and amount becomes 5 : 7. The rate of interest is

(1) 4%

(2) 6%

(3) 5%

(4) 7%

2.Rs, 1,000 is invested at 5% per annum simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs. 2,000 after

(1) 15 years

(2) 18 years

(3) 20 years

(4) 16 2/3 years

3.A pen is listed for Rs. 12. A discount of 15% is given on it. A second discount is given bringing the price down to Rs. 8.16. The rate of second discount is

(1) 20%

(2) 15%

(3) 18%

(4) 25%

4.A sum of money amounts to Rs. 5,200 in 5 years and to Rs. 5,680 in 7 years at simple interest. The rate of interest per annum is

(1) 3%

(2) 4%

(3) 5%

(4)6 %

5.A borrows Rs. 800 at the rate of 12% per annum simple interest and B borrows Rs. 910 at the rate of 10% per annum, simple interest. In how many years will their amounts of debt be equal?

(1) 18

(2) 20

(3) 22

(4) 24

6.A person deposited Rs. 400 for 2 years, Rs. 550 for 4 years and Rs. 1,200 for 6 years. He received the total simple interest of Rs. 1,020. The rate of interest per annum is

(1) 10%

(2) 5%

(3) 15%

(4) 20%

7.The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the set of the total discount on the set of the shirt and trousers is 30%, the discount, offered on the trousers is

(1) 15%

(2) 20%

(3) 25%

(4) 30%

8.A dealer buys an article marked at Rs. 25,000 with 20% and 5% off. He spends Rs. 1,000 for its repairs and sells it for  Rs. 25,000. What is his gain or loss per cent?

(1) Loss of 25%

(2) Gain of 25%

(3) Gain of 10%

(4) Loss of 10%

9.A company offers three types of successive discounts : (i) 25% and 15%, (ii) 30% and 10%. (iii) 35% and 5%. Which offer is the best a customer?

(1) First offer

(2) Second offer

(3) Third offer

(4) Any one : all are equally good

10.An article is listed at Rs. 900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts?

(1) Gain of Rs. 4,76

(2) Loss of Rs. 5,76

(3) Gain of Rs. 5,76

(4) Loss of Rs. 4.76

Answers and Solution:
1. (3)
Let the period of time be T years.Then,
(400*5*T)/100 = (500*4*6.25)/100
=> T = 6 (1/4)
2. (4)
3. (1)
Let the rate of second discount = x%
After 15% discount
Price of pen = 85/100 * 12
= Rs. 10.20
Now, 10.20 - 8.16 = Rs.2.04
it is second discount .
so x/100 *10.20 = 2.04
=> 10.2x = 204
=> x = 204/10.2 = 20
4. (4)
5. (3)
Let the period of time be T years.
so 880 + (800*12*T)/100
= 910+ (910*10*T)/100
=> 800 + 96T = 910 + 91T
=> T = 110/5 = 22 years
6.(1)
7. (3)
Let the marked price of shirt be Rs. x and that of trousers be Rs. 2x
Let the discount on the trosers be y % Then,
x*40/100 + 2x*y/100 = 3x *30/100
=> 40x + 2xy = 90x
=> 2y = 90 - 40 => y = 50/2 = 25%
8. (2)
9. (3)
10. (2)