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Simple Interest Division of Sum

MAT 2018 · Mathematical Skills · Easy · Arithmetic

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Divide Rs. 1,0001,000 into two parts so that if the two parts are invested at 4%4\% and 5%5\% simple interest, the total yearly income may be Rs. 46.5046.50.

  1. A.

    Rs. 350 at 4% and Rs. 650 at 5%

  2. B.

    Rs. 650 at 4% and Rs. 350 at 5%

  3. C.

    Rs. 400 at 4% and Rs. 600 at 5%

  4. D.

    Rs. 600 at 4% and Rs. 400 at 5%

Answer

A

Explanation

Let the part invested at 4%4\% be xx. Then the part invested at 5%5\% is 1000−x1000 - x.

Yearly interest income: 0.04x+0.05(1000−x)=46.500.04x + 0.05(1000 - x) = 46.50 0.04x+50−0.05x=46.500.04x + 50 - 0.05x = 46.50 0.01x=3.50  ⟹  x=3500.01x = 3.50 \implies x = 350

Thus, Rs. 350 is invested at 4%4\% and Rs. 650 at 5%5\%.

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