A man sells two laptops for ₹ 40,548 each: gaining 24\% on one and losing 20\% on the other. What is his gain/loss percentage overall (correct to two - Quantitative Aptitude MCQ SSC Selection Post 2021 Matriculation Level 2026 | ExamTest.live

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A man sells two laptops for ₹ 40, 548 each: gaining 24% on one and losing 20% on the other. What is his gain/loss percentage overall (correct to two decimal places)?

Solution & Step-by-step Explanation

Let's find the cost price (CP) for each laptop using the given selling price (SP = 40548). 1. First Laptop (24% profit): S P_{1} = 124% of C P_{1} ⟹ 40548 = 1.24 \times C P_{1} C P_{1} = \frac{40548}{1.24} = 32700 2. Second Laptop (20% loss): S P_{2} = 80% of C P_{2} ⟹ 40548 = 0.80 \times C P_{2} C P_{2} = \frac{40548}{0.80} = 50685 3. Overall Totals: Total SP = 40548 + 40548 = 81096 Total CP = 32700 + 50685 = 83385 Since Total CP > Total SP, there is an overall loss. Loss Amount = 83385 - 81096 = 2289 Loss Percentage = \frac{Loss Amount}{Total CP} \times 100 = \frac{2289}{83385} \times 100 \approx 2.745% Rounding to two decimal places gives a 2.75% loss .

Try it yourself before checking the explanation above.

A man sells two laptops for ₹ 40, 548 each: gaining 24% on one and losing 20% on the other. What is his gain/loss percentage overall (correct to two decimal places)?

3.75%

2.35%

3.45%

2.75%

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