simple and compound interest Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :11

A person lent at certain sum of money at 4% simple interest; and in 8 years the interest amounted to Rs. 340 less than the sum lent. Find the sum lent.

Answer: (c)

Let the sum be Rs. x.

∴ Interest = ${x × 8 × 4}/{100} = {32x}/100$

x - ${32x}/{100} = {68x}/{100}$

When interest is ${68x}/100$ less, the sum is Rs. x.

∴ when interest is 340 less, the sum is $x/{68x}$ × 100 × 340 =Rs.500

Question :12

What is the difference between the S.I. & C.I. on 7300 at the rate of 6 p.c.p.a in 2 years?

Answer: (b)

Difference = $P(R/100)^2$

=$7300×(6/100)^2$

=7300×$36/10000$=26.28

Question :13

A certain sum of money invested at a certain rate of compound interest doubles in 5 years. In how many years will it become 4 times?

Answer: (c)

$2^2$ = 4.

∴ The amount will become 4 times in 2 × 5 = 10 years.

Question :14

What amount of C.I. can be obtained on an amount of Rs. 8, 840 at the rate of 5 p.c. p.a at the end of 3 years?

Answer: (c)

Amt = $8840(1+5/100)^3$=10233.405

CI = Amt – Principal

= 10233.405 – 8840

= 1393.405

Question :15

What will be the difference between the simple interest and compound interest earned on a sum of Rs. 985.00 at the rate of 14% per annum at the end of two years ?

Answer: (e)

Required difference = P $(R/{100})^2 = 985({14}/{100})^2$

= 985 × ${196}/{10000}$ = 19.306

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