Question

Find the sum of money that amount to rs5850 in six years at 5% per annum

Answer 1

let sum of money = x
I = P×R×T / 100
5850 - x = x×5×6 /100
5850 - x = 30x / 100
585000 - 100x = 30x
585000 = 30x + 100x
585000 = 130x
585000 / 130 = x
4500 = x

So, sum of money is Rs 4500

Answer 2

Amount = Rs. 5850

Time (T) = 6 years

Rate (R) = 5% p.a.

Sum = Principal (P)

Let the Principal be Rs. x

A/Q.

Amount = Principal + S.I.

5850 = x + (PRT / 100)

⇒ 5850 = x + (x × 5 × 6 / 100)

⇒ 5850 = x + (30x / 100)

⇒ 5850 = x + (3x / 10)

⇒ 5850 = (10x + 3x) / 10

⇒ 5850 = 13x / 10

⇒ 5850 × 10 / 13 = x

⇒ 450 × 10 = x

⇒ 4500 = x


Hence, the sum is 4500.

Hope it helps