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Arithmetic
Profit and Loss
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RRB NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 10%. If he gained 71% profit, then find the value of X.

A
91
B
89
C
92
D
90
Result Summary
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RRB NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 10%. If he gained 71% profit, then find the value of X.
Correct Answer
90
Base Variable Assignment: Let the Cost Price (CP) of the goods be uniformly assumed as 100 units to simplify percentage calculations.Selling Price Deduction: Gi......
Ref/Book : RRB NTPC Graduate Tier 1 2025
Ref. Subject Arithmetic
Chapter -
Ref. Topic Profit and Loss
Pg. No -
💡 Analysis & Explanation
Base Variable Assignment ▼
Let the Cost Price (CP) of the goods be uniformly assumed as 100 units to simplify percentage calculations.
Selling Price Deduction ▼
Given a substantial overall profit of 71%, the Selling Price (SP) mathematically becomes CP + Profit = 100 + 71 = 171 units.
Marked Price Calculation ▼
The goods were sold after allowing a 10% discount on the Marked Price (MP). This means 90% of MP = SP. Therefore, 0.9 * MP = 171. Solving for MP gives 171 / 0.9 = 190 units.
Determining X ▼
The goods are marked at 190, which is 90 units above the CP of 100. Thus, the markup percentage (X) is 90%.
Conclusion ▼
The value of X is exactly 90.
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