CAT 2017 Slot 1 QA Question & Solution

ArithmeticMedium

Question

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?

Options

30%

25%

24%

28%

Solution

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%