# A shopkeeper gains a profit of 200% of the cost by selling a laptop. If the cost increases by 50% but the selling price remains the same. What percent

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A shopkeeper gains a profit of 200% of the cost by selling a laptop. If the cost increases by 50% but the selling price remains the same. What percentage of the selling Price is the Profit?
1. 65
2. 75
3. 50
4. 45
5. 55

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Correct Answer - Option 3 : 50

Given:

Profit = 200%

Cost increases = 50%

Formula used:

S.P. = C.P. + Profit

Calculation:

Assuming original C.P. to be Rs. 100

⇒ Profit = Rs.200 (∵ Profit = 200% of C.P.)

⇒ S.P = 100 + 200

⇒ S.P. = 300

⇒ New C.P. = 100 + (0.5 × 100)

⇒ New C.P. = 150

⇒ New Profit = 300 - 150

⇒ New profit = 150

⇒ Required profit = (150/300) × 100

⇒ Required profit = 50%

∴ Required profit is 50%