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Mathematics
Profit and Loss
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NTPC Graduate Tier 1 2025 Shift-2 📅 06 Jun, 2025

On selling a wardrobe at ₹3,437, the value of gain is 75% more than the value of loss incurred on selling it at ₹3,338. In order to gain 50%, find the selling price (in ₹).

A
5,061
B
5,058
C
5,062
D
5,059
Result Summary
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NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-2
On selling a wardrobe at ₹3,437, the value of gain is 75% more than the value of loss incurred on selling it at ₹3,338. In order to gain 50%, find the selling price (in ₹).
Correct Answer
5,061
Establishing Profit and Loss Relationships: Let the core Cost Price (CP) be x. The absolute profit generated at a sale of ₹3,437 is quantified as (3437 - x). ......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Profit and Loss
Pg. No -
💡 Analysis & Explanation
Establishing Profit and Loss Relationships ▼
Let the core Cost Price (CP) be x. The absolute profit generated at a sale of ₹3,437 is quantified as (3437 - x). The absolute loss suffered at a sale of ₹3,338 is (x - 3338).
Applying the Given Condition ▼
The problem clearly states the profit magnitude is 75% more than the loss magnitude. Thus, Profit = 1.75 × Loss. This establishes the critical equation: 3437 - x = 1.75(x - 3338).
Solving for Cost Price ▼
Expanding the right algebraic side gives 3437 - x = 1.75x - 5841.5. Rearranging matching terms yields 2.75x = 9278.5, which definitively determines the CP (x) to be ₹3,374.
Calculating the Target Price ▼
To secure a hefty 50% profit margin, the new target selling price must mathematically be 150% of the calculated CP. Multiplying 1.5 × 3374 equals 5061.
Conclusion ▼
The mathematically correct required selling price is ₹5,061.
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