Rs. 7000 divided unequally and invested in scheme A (offered C.I. at 10% p.a. compounded annually) and in scheme B (offered S.I. at 15% p.a.) for 2 years and 3 years respectively. If the investment earned from scheme A is 84% of the investment earned from scheme B. Find the sum invested in scheme A.

Explanation

Total sum invested in scheme A and scheme B = Rs. 7000. Let the sum invested in scheme A be Rs. x ⇒ The sum invested in scheme B is Rs. (7000 – x). Scheme A offered CI at 10% compounded annually for 2 years ⇒ Effective CI after 2 years = 21%. Scheme B offered SI at 15% per annum for 3 years ⇒ Effective SI after 3 years = 45%. Investment earned from scheme A is 84% of the investment earned from scheme B ⇒ x × 21/100 = 84/100 × (7000 – x) × 45/100 ⇒ x = 4500. ∴ The sum invested in scheme A is Rs. 4500.