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CAT 2017 [slot 1] Question with solution 12

Question 12:
If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price so that she can make the same amount of profit?
  1. 30%
  2. 25%
  3. 24%
  4. 28%
Option: 4
Explanation:

Let the cost price be C and the marked price be M.

Given,

0.6 M = 1.2 C

M = 2C

CP of 60 toys = 60C

Now only 50 are remaining.

Hence,

M (1 - d) × 50 = 72C

1- d = 0.72

d = .28

Hence 28%


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