Question

The difference between compound interest and simple interest on a sum for 2 years at 8 per cent is ₹ 768. The sum is

पर्याय

• ₹ 100000

• ₹ 110000

• ₹ 120000

• ₹ 170000

Answer 1

₹ 120000

Explanation:

Let the sum be ₹ x.

Then, C.I. = `₹[x(1 + 8/100)^2 - x]`

₹ `(729/625 x - x)` = ₹ `((104x)/625)`

S.I. = ₹ `((x xx 8 xx 2)/100)` = ₹ `((4x)/25)`

∴ `(104x)/625 - (4x)/25` = 768

⇒ `(4x)/625` = 768

⇒ x = `((768 xx 625)/4)` = 120000