Maths question from Social Forest Worker exam, 2026 by JKSSB
A shopkeeper marks the price of an item 40% above the cost price. He then gives two successive discounts of 10% and 5% on the marked price. If the shopkeeper makes a profit of Rs.492.5, find the cost price of the item.
Last updated Jul 21, 2026
Correct Answer:
Option C —
Rs.2,500
Assume the cost price of the item is 100 units.
1. Marked Price
The marked price is 40 percent above the cost price.
40 percent of 100 units is 40 units.
The marked price is 140 units.
2. Discounts
First discount: 10 percent on 140 units is 14 units.
Price after the first discount is 140 units minus 14 units, which equals 126 units.
Second discount: 5 percent on 126 units is 6.3 units.
The final selling price is 126 units minus 6.3 units, which equals 119.7 units.
3. Profit in Units
Profit equals selling price minus cost price.
119.7 units minus 100 units gives a profit of 19.7 units.
4. Calculate the Cost Price
The actual profit is given as Rupees 492.5.
Dividing Rupees 492.5 by 19.7 units gives Rupees 25 per unit.
Multiplying 100 units by Rupees 25 gives the cost price of Rupees 2,500.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
