Question

Compers Interest
on a
sum
he
of
are
And
money for 3rd year & 4th year
1206 and 1809 respectively
the 5 year shon same su​

Answer 1

Given:

The compound interest on a sum of money for 3rd years and 4th years are 1206 and 1809 respectively.

To find:

Find the 5 years S. I on same sum​

Solution:

From given, we have,

Compound interest on a sum of money for 3rd year = Rs. 1206

Compound interest on a sum of money for 4th year = Rs. 1809

We use the basic formulae to find the rate and amount.

$Rate = \dfrac{115.2}{576}\times 100= 20\%\\A_2 = 576 \times \dfrac{100}{120} = 480\\\\A_1 =480 \times \dfrac{100}{120} = 400\\\\P = \dfrac{400}{20} \times 100 = 2000$

Therefore, the sum is Rs. 2000

Verification:

SI = PTR/100

= 2000 × 5 × 20 / 100

= 20 × 5 × 20

= 400 × 5

= 2000

∴ S.I. = Rs. 2000