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

Question :1

Vishwas borrowed a total amount of Rs. 30000, part of it on simple interest rate of 12% per annum and remaining on simple interest rate of 10% per annum. If at the end of 2 yr he paid in all Rs. 36480 to settle the loan amount, what was the amount borrowed at 12% pre annum ?

Answer: (d)

Suppose at the rate of 12% p.a. he borrowed Rs. x.

36480 – 30000 = ${x × 12 × 2}/{100} + {(30000 - x) × 10 × 2}/{100}$

6480 = ${24x}/{100} + {600000 – 20x}/{100}$

6480 × 100 = 24x + 600000 – 20x

648000 – 600000

4x = 648000 – 600000 = 48000

x = ${48000}/4$ = Rs.12000

Question :2

A man had Rs.1200, part of which he lent at 5% and the remaining at 4% he got Rs.106 as interest after 2 years. The amount lent at 5% is

Answer: (a)

Let x be lent at 5% and (1200 – x) at 4%

Then we have, ${x×5×2}/100+{(1200-x)×4×2}/100=106$

⇒ x = 500.

Question :3

Rs.12500 lent at compound interest for two years at 10% per annum fetches Rs.… more, if the interest was payable half yearly than if it was payable annually

Answer: (d)

P = Rs. 12500. N = 2 years, Rate = 10% . When interest is payable yearly

A = $12500{(1+10/100)}^2$ = Rs. 15125

When interest is payable half yearly

A = $12500{(1+5/100)}^4$ = Rs. 15193.82

Difference = Rs. (15193.82 – 15125)

= Rs. 68.82

Question :4

Nanoo and Meenu borrowed Rs.400 each at 10% interest per annum. Nanoo borrowed at compound interest while Meenu borrowed at simple interest. In both the cases, the interest was calculated half yearly. At the end of one year.

Answer: (b)

Nanoo's interest for an year at 10% compounded half yearly

= $400{(1+5/100)}^2-400$

=${400×21×21}/{20×20}-400$

= Rs.441 – 400 = Rs. 41

Meenu's interest at simple interest

= ${400 ×10×1}/100$ = Rs. 40

Thus, Nanoo paid 41 – 40 = Rs. 1 more

Question :5

What will be the difference between the compound interest and simple interest at the rate of 5% p.a. on an amount of Rs. 4,000 at the end of two years?

Answer: (c)

Simple interest

= ${4000×5×2}/{100}$ = Rs.400

Compound interest

= $4000(1+5/100)^2 – 4000$

=${4000×105×105}/{100×100}-4000$

= 4410 – 4000 = Rs.410

∴Difference = 410 – 400

= Rs.10

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