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A dealer allows 25% discount on the marked price of an article and gains 20%. If the cost price of the article increases by 20%, how
much discount percentage should he allow on the marked price so as to earn the same percentage of profit as before?
12%
8.5%
10%
7.25%
- Let's assume the cost price (CP) of the article is $100.
- With a gain of 20%, the selling price (SP) would be $120.
- If a 25% discount is given on marked price (MP), then $0.75 × MP = SP, implying MP = $160.
- If CP increases by 20%, the new CP = $120.
- To maintain a 20% gain on the new CP, new SP = $144.
- To find the new discount percentage, we use $MP = $160 and SP = (100% - Discount%) × $160 = $144.
- Solving, Discount% comes out as 10%.
Option 3: 10% is the correct discount percentage.
By: santosh ProfileResourcesReport error
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