Question 117

A person invested a sum of ₹10,500 at x% per annum atsimple interest and a sum of ₹13,500 at (x + 2)% p.a. at simpleinterest. If the total interest earned on both the investmentsfor 3 years is ₹7,650, then the rate of interest on the first investment is:

Solution

Simple interest for principal of Rs. 10,500 at $$x\%$$ and Rs. 13,500 at $$(x+2)\%$$ for 3 years

S.I. = $$\frac{P\times R\times T}{100}$$

=> $$\frac{10500\times x\times3}{100}+\frac{13500\times (x+2)\times3}{100}=7650$$

=> $$315x+405x+810=7650$$

=> $$720x=7650-810=6840$$

=> $$x=\frac{6840}{720}=9.5\%$$

=> Ans - (D)

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