Question
A sum of Rs. 21500 was lent partly at 4% p.a. and
remaining at 6% p.a. simple interest. The total interest received after 3(1/2) years is Rs. 3521. The sum (in Rs.) lent at 6% p.a. is:Solution
Let amount Rs. x lent at 6% p. a Amount lent at 4% p. a = (21500 – x) As we know, SI = P × r × t/100 Simple interest for 7/2 year = Rs.3521 Simple interest for 1 year = 3521 × 2/7 = 1006 According to the question (x × 6 × 1)/100 + [(21500 – x) × 4 × 1]/100 = 1006 ⇒ 6x + 86000 – 4x = 100600 ⇒ 2x = 100600 – 86000 ⇒ x = 14600/2 ⇒ x = 7300 ∴ The sum lent at 6% per annum is Rs. 7300
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