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

Question :6

Mr. Sharma invested an amount of Rs. 25,000 in fixed deposit @ 8% p.a. C.I. for two years. What amount Mr. Sharma will get on maturity?

Answer: (b)

Amount = 25,000$(1+8/100)^2$

= 29160

Question :7

In what time will RS.72 become Rs.81 at 1 6 % 4 p.a. SI?

Answer: (a)

$ A=P(1+{TR}/100)$

$81=72(1+{T×25/4}/100)$

${16+T}/16=81/72$

16 + T = 18

T = 2 years.

Question :8

The compound interest accrued on an amount of Rs. 25,500 at the end of three year is Rs. 8,440.5. What would be the simple interest accrued on the same amount at the same rate in the same period?

Answer: (d)

25500$(1+r/100)^3$-25500

=8440.5

⇒ 25500$(1+r/100)^3$

=8440.5+25500

⇒ $(1+r/100)^3$=$33940.5/25500$

=$1331/1000$=$(11/10)^3$

⇒ $(1+r/100)$=$(11/10)$

⇒$1+r/100=11/10$

⇒$r/100=11/10-1=1/10$

⇒ r=$100/10$=10

∴ Simple interest

=${25500×10×3}/100$

=Rs.7650

Question :9

What would be the compound interest accrued on an amount of Rs. 7400 @ 13.5 p.c.p.a. at the end of two years ? (Rounded off to two digits after decimal)

Answer: (d)

Compound interest = 74000 $[(1 + 27/{100})^2 - 1]$

= 7400 $[({227}/{200})^2 - 1] = 7400 [{227 × 227 - 200 × 200}/{200 × 200}]$

=7400$[{51529 - 40000}/{40000}] = 7400 × {11529}/{40000}$

= 2132.865 = Rs. 2132.87

Question :10

A principal of Rs. 10,000 after 2 years compounded annualy, the rate of interest being 10% p.a. during the first year and 12% p.a. during the second year will amount to:

Answer: (b)

Amt = 10,000$(1+10/100)(1+12/100)$

= 12320

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