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CAT 1998 — QA Question 24

RatioEasy
Passage / Data

Direction: Answer the question based on the following information.

A, B, C and D collected one-rupee coins following the given pattern.

  • Together they collected 100 coins.
  • Each one of them collected even number of coins.
  • Each one of them collected at least 10 coins.
  • No two of them collected the same number of coins.

I have one-rupee coins, 50-paisa coins and 25-paisa coins. The number of coins are in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one-rupee coins.

Answer & solution

  • A

    90

  • B

    85

  • C

    100

  • 105

Solution

Since the number of coins are in the ratio 2.5 : 3 : 4, the values of the coins will be in the ratio
(1 × 2.5) : (0.5 × 3) : (0.25 × 4) = 2.5 : 1.5 : 1 or 5 : 3 : 2
Since they totally amount to Rs. 210, if the value of each type of coins are assumed to be 5x, 3x and 2x, the average value per coin will be 21010x.

So the total value of one-rupee coins will be 5×(21010x) = Rs. 105

So the total number of one-rupee coins will be 105.

CAT 1998 QA Q24: I have one-rupee coins, 50-paisa coins and 25-paisa coins. The number of coins are in the ratio 2.5 : 3 : 4. I — Solution | TheCATExam