Two equal sums were lent on simple interest at 6% and 10% per annum respectively. The first sum was recovered two years later than the second sum and the amount in each case was ₹1105. What was the sum (in ₹) lent in each scheme?

850

Interest = $\frac{Principal ×Rate × Time }{100}$

Amount = Principal + Interest

Calculation

Let Year be t and Principal be P

A.T. Q ,

( t+ 2) × 6% = t × 10%

⇒ 6% t + 12% = 10%t

⇒ t = 3 years

Amount = Principal + Interest  

 ⇒   P + $\frac{ P ×6 × 5}{100}$ = 1105

⇒   P + $\frac{ 3 × P }{10}$ = 1105

⇒ $\frac{ 13 P }{10}$= 1105

⇒ P = 1105 ×  $\frac{10}{13}$

⇒ P = Rs. 850