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A shopkeeper has announced 14% rebate on the marked price of an article. If the sellingprice of the article is ₹688, then the marked price of the arti
Question

A shopkeeper has announced 14% rebate on the marked price of an article. If the sellingprice of the article is ₹688, then the marked price of the article will be:

A.

₹600

B.

₹500

C.

₹700

D.

₹800

Correct option is D

​Given:

Rebate = 14%

Selling price = ₹688

Formula Used:

Selling price = Marked price×(1Rebate percentage100)\text{Marked price} \times \left(1 - \frac{\text{Rebate percentage}}{100}\right)​​

Solution:

Substitute the known values into the formula:

688=Marked price×(114100)688 = \text{Marked price} \times \left(1 - \frac{14}{100}\right)​​

688=Marked price×0.86688 = \text{Marked price} \times 0.86​​

Marked price = 6880.86\frac{688}{0.86}​ = ₹800

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