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Simple Interest - Free MCQ Practice Test with solutions, SSC CGL Quant


MCQ Practice Test & Solutions: 12 Min Test: Simple Interest (15 Questions)

You can prepare effectively for SSC CGL Quantitative Aptitude for SSC CGL with this dedicated MCQ Practice Test (available with solutions) on the important topic of "12 Min Test: Simple Interest". These 15 questions have been designed by the experts with the latest curriculum of SSC CGL 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 12 minutes
  • - Number of Questions: 15

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12 Min Test: Simple Interest - Question 1

Ajay deposited Rs. 20,000 in a scheme offering a simple interest of 5% p.a. for the first year and 1.5% p.a. more returns each successive year. What is the total interest (in Rs.) obtained after 5 years?

Detailed Solution: Question 1

P = 20,000
Rate of interest in first year = 5%, (5 + 1.5) %, (5 + 2 × 1.5) %, (5 + 3 × 1.5) %, (5 + 4 × 1.5) %
Total percentage interest in 5 years = 5 × 5% + 1.5% × (1 + 2 + 3 + 4) = 40%
Total interest in five years = 20,000 × 40% = Rs. 8000
Hence, option B is correct.

12 Min Test: Simple Interest - Question 2

Suraj lent out a sum of Rs. 12,000 at 4% p.a. simple interest. From the amount received after 10 years, he lent out half of the amount at 5% p.a. rate of simple interest for 4 years. What is the total interest (in Rs.) obtained by Suraj in this entire process?

Detailed Solution: Question 2

Let the starting amount = 100x
Interest = 10 × 4% of 100x = 40x
Amount = 140x

Interest = 4 × 5% of 70x = 14x
Total interest = 40x + 14x = 54x

Hence, option A is correct.

12 Min Test: Simple Interest - Question 3

When the rate of simple interest is different for different years, a sum of Rs. X becomes 108% of itself in 1 year and 130% of itself in 3 years. If the interest obtained in the first, second and third years are in A.P., what is the ratio of the amount of interest obtained in the first year and in the third year, respectively?

Detailed Solution: Question 3

Let the principal = 100x
First year interest = 108% (100x) – 100x = 8x
Interest in three years = 130% (100x) – 100x = 30x
As the successive interest in the years is in A.P.

Interest in third year = 30x – (10x + 8x) = 12x
Reqd. ratio = 8 : 12 = 2 : 3
Hence, option A is correct.

12 Min Test: Simple Interest - Question 4

A sum lent out at simple interest gives a return of Rs. ‘p’ each year and becomes 4/3 times itself in 6 years. If the sum decreases by 16.67% and the per year returns decrease by 33.33%, by how much percent the sum of money will increase in 9 years?

Detailed Solution: Question 4

Let the sum = 6A

6p = 2A
After the sum decreases by 16.67% (1/6) and per year returns decrease by 33.33%


= 5A + 6p
= 7A (6p = 2A)

Hence, option C is correct.

12 Min Test: Simple Interest - Question 5

A sum of Rs. X increases by 1/15 times in the first year and by 1/8 times in the second year. It increases by 8.33% in the third year and the total interest in three years is Rs. 3900, what is the amount obtained at the end of three years?

Detailed Solution: Question 5

  1. Let the original principal be X rupees.

  2. First year: it increases by 1/15, so the amount becomes
    X × (1 + 1/15) = X × (16/15).

  3. Second year: on that new amount it increases by 1/8, so now it is
    X × (16/15) × (1 + 1/8) = X × (16/15) × (9/8).

  4. Third year: it increases by 8.33%, which is 8⅓% = 1/12, so the final amount is
    X × (16/15) × (9/8) × (1 + 1/12)
    = X × (16/15) × (9/8) × (13/12).

  5. Simplify the multipliers:
    • (16/15)×(9/8) = 144/120 = 6/5 = 1.2
    • 1.2 × (13/12) = (6/5)×(13/12) = 78/60 = 13/10 = 1.3

    So after three years the amount is 1.3 X.

  6. Total interest earned = final amount − original principal = 1.3 X − X = 0.3 X.
    We’re told this total interest is Rs. 3,900, so
    0.3 X = 3,900
    X = 3,900 ÷ 0.3 = 13,000 rupees.

  7. Final amount = 1.3 X = 1.3 × 13,000 = 16,900 rupees.

12 Min Test: Simple Interest - Question 6

A sum of Rs. ‘5p’ is invested in scheme A for 5 years and a sum of Rs. ‘8p’ is invested in scheme B for 2 years. The total interest from scheme B is 25% more than that from scheme A and the amount from scheme B is 50% more than that from scheme A. If the difference between the sum of money invested in the two schemes is Rs. 4200, what is the total interest (in Rs.) obtained from both the schemes?

Detailed Solution: Question 6

Sum invested in A : B = 5 : 8
Difference = 4200
Sum invested in A = 7000 and in B = 11,200
Let the interest from A = 4x and interest from B = 5x
(7000 + 4x) : (11,200 + 5x) = 2 : 3
x = 700
Total interest = 9x = 9 × 700 = Rs. 6300
Hence, option D is correct.

12 Min Test: Simple Interest - Question 7

Karan lent out 40% less money than Arjun at simple interest for 6 years. The interest obtained by Karan is 12% of the sum lent out by Arjun and the interest obtained by Arjun is 40% of the sum lent out by Karan. What is the ratio of the rate of interest per annum of Karan to that of Arjun?

Detailed Solution: Question 7

Ratio of the amount lent out by Karan : Arjun = 3 : 5
Let the sum of money lent out by Karan = 300x and that lent out by Arjun = 500x
Interest of Karan = 12% (500x) = 60x


Interest of Arjun = 40% (300x) = 120x


Reqd. ratio = 3.33% : 4% = 5 : 6
Hence, option A is correct.

12 Min Test: Simple Interest - Question 8

Aman had a certain sum of money with him. He lent out 25% of the sum at 4x% p.a., 35% of the sum at 2x% p.a. and the remaining at 3x% p.a. simple interest. If the sum of money increased by 29% in two years, what is the value of x?

Detailed Solution: Question 8

Let the sum be 100y
Interest = 29% (100y) = 29y
2(25y × 4x% + 35y × 2x% + 40y × 3x%) = 29y

x = 5
Hence, option B is correct.

12 Min Test: Simple Interest - Question 9

At a certain rate of simple interest, a sum of money becomes 160% of itself in 3 years. If the sum of money, rate of interest and time of investment increase by 20%, 50% and 66.67%, respectively, what will be the percentage increase in the amount received?

Detailed Solution: Question 9

P = 100 and Interest = 60
Amount = 100 + 60 = 160
P = 100
R = 20%
T = 3
Principal increases by 20%, rate of interest by 50% and time by 66.67%
Now
P = 120
R = 30%
T = 5

Amount = 300
Percentage increase in the amount

Hence, option C is correct.

12 Min Test: Simple Interest - Question 10

A sum of money is lent out at simple interest for three years. The ratio of the amount of interest in the first, second and third years is in the ratio 1 : 4 : 2 respectively. The ratio of the amount (principal + interest) at the end of the first, the second and the third year is 6 : 8 : 9 respectively. What is the rate of interest for the third year?

Detailed Solution: Question 10

Let the amount at the end of the first, second and third years be A1, A2 and A3
A1 : A2 : A3 = 6 : 8 : 9 of 12 : 16 :18
As ratio of the amount of interest of the first, second and third years = 1 : 4 : 2
P : A1 : A2 : A3 = 11 : 12 : 16 : 18
Rate of interest for the third year

Hence, option D is correct.

12 Min Test: Simple Interest - Question 11

At a certain rate of simple interest per annum, the ratio of the amount Aman gets in 8 years and the amount Seema gets in 6 years are in the ratio 29 : 42, respectively. If Seema invested 50% more amount that Aman, what is the rate of interest per annum?

Detailed Solution: Question 11

The ratio of the investment of Aman : Seema = 2 : 3
Let the amount be invested at 'r' % per annum
Amount obtained by Aman = 2x (1 + 8r%)
Amount obtained by Seema = 3x (1 + 6r%)

28 + 224 r% = 29 + 174 r%
r = 2
Hence, option A is correct.

12 Min Test: Simple Interest - Question 12

At a certain rate of simple interest per annum a sum of Rs. P becomes 11/8 times itself in 6 years. What will be the ratio of the amount obtained on Rs. 2P at the same rate in 5 years to the amount obtained on Rs. 3P at the same rate in 12 years?

Detailed Solution: Question 12

P : A = 8 : 11 or 16 : 22



Hence, option A is correct.

12 Min Test: Simple Interest - Question 13

A sum of Rs. 15000 becomes Rs. 24,600 when invested at ‘x’ p.a. simple interest for ‘x’ years. In how many years, the sum will become thrice itself at (x + 2)% p.a.?

Detailed Solution: Question 13




x2 = 64
x = 8
At (x + 2)% = 10% p.a.

T = 20 years
Hence, option A is correct.

12 Min Test: Simple Interest - Question 14

A sum of Rs. 3600 becomes ‘11z’ in 8 years at 4% p.a. simple interest while at the same rate a sum of Rs. X becomes ‘8z’ in 11 years. What is the value of X?

Detailed Solution: Question 14

11z = 3600 × (100% + 4% × 8)
11z = 132% of 3600
8z = X × (100% + 4% × 11)
8z = 144% of X
11z : 8z = 132% of 3600 : 144% of X
3 : 2 = 3600 : X

Hence, option C is correct.

12 Min Test: Simple Interest - Question 15

A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?

Detailed Solution: Question 15

Let the first–year interest = a
Let the amount after the first, second and third years be 42y, 47y and 52y
P × 1.3 = 52y
P = 40y
Principal = 40y
Interest in two years = 47y – 40y = 7y
Interest in first two years

Hence, option B is correct.

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