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A trader marked his goods 60% more than the cost price. If he increased the selling price by 25%, his profit will be double. If the M.R.P of his goods is Rs. 480 then, what was the actual selling price of goods?
Rs. 450
Rs. 600
Rs. 500
Rs. 550
Rs. 400
Here is how to solve it:
- Let the cost price (CP) be Rs. 100.
- Marked Price (M.R.P) = 100 + 60% of 100 = Rs. 160.
- M.R.P. in the problem = Rs. 480, so 160 corresponds to 480.
- 1 unit ? Rs. 3
- So, actual cost price = 100 × 3 = Rs. 300
- M.R.P = 160 × 3 = Rs. 480 (matches the question)
- Suppose normal selling price = S.
- Profit = S - 300
- If selling price increased by 25%: New SP = S × 1.25
- New profit = (S × 1.25) - 300
- Given: This new profit = 2 × earlier profit
- (1.25S - 300) = 2(S - 300)
- 1.25S - 300 = 2S - 600
- 2S - 1.25S = 600 - 300 ? 0.75S = 300 ? S = 400
Options:
- Rs. 450
- Rs. 600
- Rs. 500
- Rs. 550
- Rs. 400
Correct Answer: Rs. 400
By: Parvesh Mehta ProfileResourcesReport error
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