Multiple Choice Questions on Prasanna invested certain amount in three different schemes X Y and Z with the rate of interest 10 p........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Prasanna invested certain amount in three different schemes X Y and Z with the rate of interest 10 p...........

Quantitative Aptitude ( CCS) Simple Interest
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    Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ?

    6000

    Incorrect Answer

    5500

    Incorrect Answer

    5000

    Correct Answer

    4500

    Incorrect Answer
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    Explanation:

    Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then,

    As we know:

    Simple interest (S.I.) = PTR/100

    (a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200

    = 10a + 12b + 15c = 320000 .........(1)

    Now, c = 240% of b = 12b/5 .........(2)

    And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3)

    From (1), (2) and (3), we have

    16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000

    ∴ Sum invested in Scheme Y = Rs.5000.

    Hence, option 3 is the correct answer.

    By: Amit Kumar
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