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CAT 2002 — QA Question 24

2 Variable EquationsEasy

A man received a cheque. The amount in Rs. has been transposed for paise and vice versa. After spending Rs. 5 and 42 paise, he discovered he now had exactly 6 times the value of the correct cheque amount. What amount he should have received?

Answer & solution

  • A

    Rs. 5.30

  • Rs. 6.44

  • C

    Rs. 60.44

  • D

    Rs. 16.44

Solution

Let the man has received a cheque of x rupees and y paise.

∴ The amount on cheque = (100x + y)                                             …(i)

The amount actually received by him = 100y + x

After spending Rs. 5 and 42 paise, the remaining amount = (100y + x – 542)   …(ii)

But, (100y + x – 542) = 6 × (100x + y)                                               …(iii)

Substituting the values from the given options, x = 6 and y = 44

Hence, option (b).

CAT 2002 QA Q24: A man received a cheque. The amount in Rs. has been transposed for paise and vice versa. After spending Rs. 5 — Solution | TheCATExam