CAT 2025 Slot 3 · Quant · Question 5
CAT 2025 Slot 3 previous year question on Profit and Loss, with the answer and a step-by-step solution.
- A525
- B520
- C510
- D515
Answer & solution
Answer: Option A
The total number of units sold is 120+135+150+165=570.
The total cost is 570\times 240=136800.
Profit is revenue minus cost, so the total revenue is 136800+138825=275625.
Writing M for the marked price, each month's selling price per unit is M times 0.80, 0.90, 0.95 and 1.00 respectively.
So the revenue is M\left( 120\times 0.80+135\times 0.90+150\times 0.95+165\times 1.00 \right).
The bracket is 96+121.5+142.5+165=525.
Therefore 525M=275625, giving M=525.
Shortcut. Collapse the four months into one number — the discount-weighted unit count, here 525. The whole question is then a single division, and no month needs handling separately.
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