Question

1. Find the amount and the compound interest
on 12,000 in 3 years at 5%; interest being
compounded annually.
2. Calculate the amount, if 15,000 is lent at
compound interest for 2 years and the rates for
the successive years are 8% p.a. and 10% p.a.
respectively.​

Answer 1

Answer:

Step-by-step explanation:

P=1200

R=5%

T=3year

A.T.Q

SI=P×R×T/100

=1200×5×3/100

=12×5×3

Ans=180

Answer 2

SOLUTION 1:-

Given:

• Principal,[P]= Rs.12000
• Rate,[R]= 5%
• Time,[n]= 3 years.

To find:

The amount & compound Interest.

Explanation:

We know that, compound Interest:

C.I.= Amount - Principal

Or

$A = P(1 + \frac{R}{1 00} ) {}^{n} \\ \\ A = 12000(1 + \frac{5}{100} ) {}^{3} \\ \\ A = 12000(1 + \frac{1}{20} ) {}^{3} \\ \\ A = 12000( \frac{20 + 1}{20} ) {}^{3} \\ \\ A = 12000( \frac{21}{20} ) {}^{3} \\ \\ A = 12000 \times \frac{21}{20} \times \frac{21}{20} \times \frac{21}{20} \\ \\ A = 12 \times \frac{21 \times 21 \times 21}{8} \\ \\ A = Rs. \frac{111132}{8} \\ \\ A = Rs.13891.5$

Therefore,

C.I.= Rs.13891.5 - Rs.12000

C.I.= Rs.1891.5.