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… — Answer & Discussion

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. If the investment earned from scheme A is 84% that earned from scheme B. Find the sum invested in scheme A.

ARs. 4500
BRs. 2500
CRs. 3500
DRs. 4000

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Discussion 1

CCommunity25 May 2019

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