Question

find the sum of money that amounts to 5850 in 6 years at 5% per annum

Answer 1

Let the sum of money = P

Given that Amount (A) = 5850

Time (T) = 6 years

Rate (R) = 5%

Interest (I) = PTR/100 = P×6×5/100 = 0.3P

We know that Amount = Principal + interest

=> 5850 = P + 0.3P

=> 5850 = 1.3P

=> P = 5850/1.3

=> P = 4500

Hence the sum of money is ₹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           [^-^]