CAT 2020 Exam Shift 2 Solved Paper

Question : 63 of 76

Marks: +1, -0

Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at

20 \%

discount on the labeled price. Then he sells the remaining 4 toys at an additional

25 \%

discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a

10 \%

profit. With no discounts, his percentage of profit would have been

Solution:

Let the cost price and marked price of each toy be

c

and

m

respectively.
Overall selling price

=8(0.8 {m})+4(\;{3}/{4} × 0.8 {m})

i.e

8.8 {m}

.
Given,

110 \%

12 c=8.8 {m}

⇒ c=\;{2 m}/{3}

∴

Overall

C P=12 × \;{2 m}/{3}

i.e

8 {m}

Required profit percentage

=\;{12 m-8 m}/{8 m} × 100=50 \%

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