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

Question :1

The compound interest earned by Suresh on a certain amount at the end of two years at the rate of 8 p.c.p.a. was Rs. 1414.4. What was the total amount that Suresh got back at the end of two years in the form of principal plus interest earned ?

Answer: (b)

Suppose principle is P

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

1414.40 = P $[(1 + {8/{100}})^2 - 1]$

1414.40 = P [1.1664 – 1]

P = ${1414.40}/{0.1664}$ = Rs. 8500

So A = P + SI = 8500 + 1414.40 = Rs. 9914.40

Question :2

What will be the compound interest on an amount of Rs.5,000 for a period of 2 year at 8% p.a?

Answer: (e)

Amount = Principal $(1+\text"Rate"/100)^\text"Time"$

=$5000(1+8/100)^2=5000(1+2/25)^2$

=$5000×{27/25}×{27/25}$=5832Rs.

∴ CI=Rs.(5832-5000)=832Rs.

Question :3

An amount is lent at 15% p.a. compound interest for 2 years. The percent increase in the amount at the end of 2 years is

Answer: (a)

In 2 years, Rs. 1 will become $(1+{15/100})^2$ times of itself

= $(115/100)^2$ times of itself = $13225/10000$ times of itself

∴ Increase = $13225/10000-1=3225/10000= 32.25%$

Question :4

Ms Suchi deposits an amount of Rs. 24,000 to obtain a simple interest at the rate of 14% p.a. for 8 years. What total amount will Ms Suchi get at the end of 8 years?

Answer: (a)

Required Amount = 24000 $(1+{14×8}/100)$

= 24000 × $212/100$ = Rs.50880

Question :5

What approximate amount of compound interest can be obtained on an amount of Rs. 3,080 at the rate of 7% p.a. at the end of 3 year ?

Answer: (b)

Compound Interest

= $3080[(1+7/100)^3-1]$

=$3080[(107/100)^3-1]$

=$3080×[{1225043-1000000}/1000000]$

$3080×225043/1000000$

= Rs.693 (approximate)

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