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(A) Marked price of the article $= Rs. 65$.Selling price of the article $= Rs. 56.16$.Total discount amount $= 65 - 56.16 = Rs. 8.84$.Total discount p

Vedclass · Accepted Answer

$4 \%$

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(A) Marked price of the article $= Rs. 65$.Selling price of the article $= Rs. 56.16$.Total discount amount $= 65 - 56.16 = Rs. 8.84$.Total discount percentage $= (8.84 / 65) 	imes 100 = 13.6 \%$.Let the two successive discounts be $10 \%$ and $m \%$.The formula for the equivalent single discount is $D_{eq} = (d_1 + d_2 - (d_1 	imes d_2) / 100) \%$.Substituting the values: $13.6 = 10 + m - (10 	imes m) / 100$.$13.6 = 10 + m - 0.1m$.$3.6 = 0.9m$.$m = 3.6 / 0.9 = 4$.Therefore,the second discount is $4 \%$.

An article is listed at $Rs. 65$. $A$ customer bought this article for $Rs. 56.16$ and received two successive discounts,of which one is $10 \%$. Find the other discount in this discount scheme offered by the shopkeeper (in $\%$).

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