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A shopkeeper marked an article at a price which gives a profit of 17%. After allowing a certain discount the profit reduces to 8%, then find the discount percent.
1. (100/3)%
2. 33%
3. 10%
4. 16%
5. (100/13)%

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Correct Answer - Option 5 : (100/13)%

Given:

Profit% = 17%

Profit reduce percent = 8%

Formula Used:

S.P = C.P × {(100 + P%)/100}

D% = {(M.P - S.P)/M.P} × 100

Where D% = Discount Percent, S.P = Selling Price, P% =Profit Percent, M.P = Marked Price

Calculation:

Let cost price be Rs. 100

According to the question,

Initially SP = MP of the article

Then M.P = Rs. (100 + 17)

⇒ Rs. 117

Since profit percent = 17%

New S.P = C.P × {(100 + P%)/100}

⇒ 100 × {(100 + 8)/100}

⇒ Rs. 108

Now, D% = {(M.P - S.P)/M.P} × 100

⇒ {(117 - 108)/117} × 100

⇒ (9/117) × 100

⇒ 100/13

∴ The required discount percent will be (100/13)%

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