# CAT 2023 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 15

CAT 2023 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 15 : Jayant bought a certain number of white shirts at the rate of Rs 1000 per piece and a certain number of blue shirts at the rate of Rs 1125 per piece. For each shirt, he then set a fixed market price which was 25% higher than the average cost of all the shirts. He sold all the shirts at a discount of 10% and made a total profit of Rs 51000. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is

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Then the total Cost Price (CP) $= 1000 $times w + 1125 $times b = 1000$ w + b$ + 125 $times b$ Since the goods are marked up by 25% and then offered at a discount of 10%, the total Selling Price$SP) $= C P $times 1.25 $times 0.9 = 1.125 C P$ This implies that there was a 12.5% of Profit, which is given to be 51, 000 12.5%$CP$ = 51,000
$1000 ( w + b ) + 125 $times b = 4,08,000$ w and b are positive integers$since at least one shirt of each color needs to be purchased.)