Q80. A man invested Rs. 7500 for two years at a rate of $X\%$ p.a. on compound interest and received total interest of Rs. 3300. He invested Rs. 4800 in scheme A, which offers simple interest for two years at the rate of ____% p.a., and he also invested Rs. ____ in scheme B, which offers s

Question

Q80. A man invested Rs. 7500 for two years at a rate of $X\%$ p.a. on compound interest and received total interest of Rs. 3300. He invested Rs. 4800 in scheme A, which offers simple interest for two years at the rate of ____% p.a., and he also invested Rs. ____ in scheme B, which offers simple interest for two years at the rate of 12% p.a. The total interest received from scheme A is Rs. ____ more than that from scheme B. Which of the following option(s) is/are correct in the blank spaces? (i) $(X-5), 200X, 480$ (ii) $X, 4800, 360$ (iii) $1.5X, 4000, 500$ A) None of these B) Only (i) C) Only (iii) D) Only (i) & (ii) E) Only (i) & (iii)

Accepted Answer

Only (i). From the compound interest on Rs. 7500 for 2 years, the rate $X$ can be determined. Then each proposed set of blanks is checked using simple interest formulas for schemes A and B. Only option (i) satisfies all conditions.

Solution

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