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SSC CGL Tier I 14 Sep 2025 Shift 1 Paper

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Question : 62 of 100

Marks: +1, -0

A furniture store sold three sofas, S1, S2, and S3, whose selling prices were in the ratio 4: 5: 6. They made a profit of 25 percent on S1, a loss of 5 percent on S2, and a profit of 15 percent on S3. What was their approximate total profit or loss percentage for the entire sale?

profit of 10 percent
profit of 12.63 percent
loss of 10 percent
loss of 12.63 percent

Solution:

Concept:

To find the overall profit or loss percentage, convert the given selling prices into cost prices using the profit/loss percentages, then compare total selling price and total cost price.

Explanation:

Let the selling prices of S1, S2, and S3 be

4x

,

5x

, and

6x

respectively.

Total selling price (SP) =

4x + 5x + 6x = 15x

.

Cost price (CP) of S1:

4x \div 1.25 = 3.2x

(since 25% profit means SP = 125% of CP).

CP of S2:

5x \div 0.95 \approx 5.263x

(5% loss means SP = 95% of CP).

CP of S3:

6x \div 1.15 \approx 5.217x

(15% profit means SP = 115% of CP).

Total CP

\approx 3.2x + 5.263x + 5.217x = 13.68x

.

Total profit = SP − CP =

15x - 13.68x = 1.32x

.

Profit percentage =

\frac{1.32x}{13.68x} \times 100 \approx 9.65\%

, which is approximately 10%.

Answer:

A. profit of 10 percent

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