CAT 2024 Question Paper | Quant Slot 3

CAT Questions

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 12 Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

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Video Explanation

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Explanatory Answer

Let, \(CP = x\)
Then, MP = 1.2 x ; \[ S P=M P-10 \% M P=90 \% M P \] Also,
Savings = Rs. 15
Savings with respect to percentage \(=10 \%\) of \(M P=0.12 x\)
Thus, \(0.12 x=15\) \[ \Rightarrow x=125 \] Hence,
\[ \begin{array}{l} C P=125 ; \quad M P=150 ; \quad S P=135 . \\ \Rightarrow \text { Profit }=135-125=10 . \end{array} \]

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The question is "Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is"

Hence, the answer is '10'

Choice B is the correct answer.

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