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  • Question
  • 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 ?


  • Options
  • A. Rs.6000
  • B. Rs.4500
  • C. Rs.7500
  • D. Rs.5000

  • Correct Answer
  • Rs.5000 

    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.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    Percentage problems


    Search Results


    • 1. A woman suffered 20% loss on first investment and made 10% profit at second investment and 12 ½% profit on the third investment. If the invested amount be in the ratio of 4 : 5 : 3, find her profit percentage?

    • Options
    • A. 0.625%
    • B. 1.205%
    • C. 0.987%
    • D. 0%
    • Discuss
    • 2. 36 of what number is 18?

    • Options
    • A. 38
    • B. 42
    • C. 50
    • D. 62
    • Discuss
    • 3. 96% of the population of a village is 23040. The total population of the village is ?

    • Options
    • A. 24000
    • B. 32256
    • C. 25478
    • D. 26587
    • Discuss
    • 4. If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

    • Options
    • A. 24%
    • B. 29%
    • C. 34%
    • D. 25%
    • Discuss
    • 5. Ramesh spent Rs. 38460 on the renovation of his home, Rs. 24468 on buying furniture and remaining 28% of the total amount he had as cash with him. What was the total amount ?

    • Options
    • A. 87400
    • B. 92520
    • C. 88470
    • D. 90150
    • Discuss
    • 6. In order to maximize his gain, a shopping mall owner decides to reduce the price of electronics goods by 20% and as a result of this, the sales of electronics increase by 40%. If, as a result of these changes, he is able to increase his weekly collection by Rs. 1,05,000, find by what value did the gross collection increase per day?

    • Options
    • A. Rs. 14400
    • B. Rs. 14600
    • C. Rs. 14800
    • D. Rs. 15000
    • Discuss
    • 7. 74.99% of 1299 + 8.98% of 1899 = ?

    • Options
    • A. 1378
    • B. 1301
    • C. 1212
    • D. 1197
    • Discuss
    • 8. Arun?s weight is 140% of Akhil?s weight. Nani?s weight is 90% of Shreyon?s weight. Shreyon?s weight is twice as much as Akhil?s. What percentage of Arun?s weight is Nani?s weight?

    • Options
    • A. 76%
    • B. 77%
    • C. 78%
    • D. 79%
    • Discuss
    • 9. What will come in place of the question mark (?) in the following question ? 52.5% of 800 + 30.5% of 2800 = ? + 87.30

    • Options
    • A. 1096.30
    • B. 1226.70
    • C. 1124.20
    • D. 1186.70
    • Discuss
    • 10. A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14 % on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?

    • Options
    • A. Rs.60,145.23
    • B. Rs.54,285.54
    • C. Rs.52,147.85
    • D. Rs.50,589.47
    • Discuss


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