Quantitative Aptitude – Arithmetic – Profit and Loss – If Fatima sells 60 identical toys
Quantitative Aptitude – Arithmetic – Profit and Loss
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?
A) 30%
B) 25%
C) 24%
D) 28%
Answer
Option (D)
Solution
As per CAT 2017 – Quantitative Aptitude – Arithmetic – Profit and Loss, we can see that
Market Price = MP
Cost Price = CP
[(60/100 MP * 60 – 60CP)/60CP] * 100 = 20
MP = 2CP
When 10 toys are burnt in fire, then
[(x/100 *50 * MP – 60CP )/60CP] * 100 = 20
x = 72
So discount given = 100-72 = 28%
Option (D)
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