Question

what sum of money will amount to rupees 27783 in one and a half yeras at 10 per cent per annum compounded half yearly...

Answer 1

Heya ☺

Given that

A = ₹27,783

R = 10 % p.a.

T = 1 + 1/2 years

= 2+1/2 years

= 3/2 years

Solution

When the interest is compounded half - yearly

A = P(1+R/200)^3/2 × 2

=> 27,783 = P(1+10/200)^3

=> 27,783 = P(200+10/200)^3

=> 27,783 = P(210/200)^3

=> 27,783 = P(21/20)^3

=> 27,783 = P × 9,261/8,000

=> P = 27,783 × 8,000/9,261

=> P = ₹24,000



Thanks

Answer 2

hope it is helpful for you