simple and compound interest Model Questions & Answers, Practice Test for ibps so prelims 2023

Question :11

Bhanu borrowed a certain sum of money at 12% per annum for 3 years and Madhuri borrowed the same sum at 24% per annum for 10 years. The ratio of their amounts, is

Answer: (d)

BhanuMadhuri
$T_1$ = 3 years$T_2$ = 10 years
$R_1$ = 12%$R_2$ = 24%

Let P = 100

$A_1/A_2={100+T_1R_1}/{100+T_2R_2}$

=${100+3×12}/{100+10×24}$

=$136/340=2/5$

∴ $A_1 : A_2$ = 2 : 5

Question :12

The simple interest accrued on an amount of Rs. 27500 at the end of three years is Rs. 10230. What would be the approximate compound interest accrued on the same amount at the same rate in the same period ?

Answer: (c)

R = ${S.I × 100}/{P × T} = {10230 × 100}/{27500 × 3}$ = 12.4%p.q

CI = P$[(1+{r/{100}})^t-1]$

= $27500 [(1 + {{12.4}/{100}})^3 -1] = 27500 [({112.4}/{100})^3 -1]$

=27500$[{112.4 × 112.4 × 11.24 - 100 × 100 × 100}/{100 × 100 × 100}]$

=27500$[{1420034.624 - 1000000}/{1000000}]$

= 27500$[{420034.624}/{1000000}]$

= 2700 × 0.42 = Rs. 11550

Question :13

Arunima invests an amount of Rs. 10,250@4% p.a. to obtain a total amount of Rs. 12,710 on simple interest after a certain period. For how many year did she invest the amount to obtain the total sum?

Answer: (c)

SI = Rs.(12710 – 10250)= Rs.2460

time = ${\text"\text"S.I"." × 100}/\text"Principal×Rate"$ =${2460×100}/{10250×4}$ = 6 years

Question :14

What would be the simple interest accrued in 4 years on a principal of Rs. 16,500 at the rate of 16 p.c.p.a?

Answer: (e)

Simple interest

$\text"principle×time×rate"/100$=${16500×4×16}/100$=Rs.10560

Question :15

Compound interest on Rs.25000 at 20% p.a. for $2{1/2}$ years, if interest is compounded annually, is

Answer: (b)

Amount = $25000×{(1+20/100)^2×(1+10/100)^1$

=$25000×(6/5)^2×11/10=39600$

∴ Compound interest = 39600 – 25000 = 14600.

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