If a shopkeeper sells a watch for Rs. $552$ , he will make a profit of $15 %$ . If he allows a discount of $5 %$ for cash payment his actual profit percentage is:

10 %

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5 %

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14.5 %

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9.25 %

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Solution

The correct option is B $9.25 %$
S.P. of the watch is Rs. $552$
Profit $= 15 %$
Let the C.P. be Rs. $x$
So, the S.P. will be Rs. $1.15 x$
Equating both selling prices, we get
$1.15 x = 552$ or $x =$ Rs. $480$ .
Cost price $=$ Rs. $480$ .
Discount offered $= 5 %$
So, the new S.P. will be $0.95 (552) =$ Rs. $524.4$
Profit $=$ Rs. $524.4 - 480 =$ Rs. $44.4$
Profit $%$ $= 44.4 \times \frac{100}{480} = 9.25 %$

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If a shopkeeper sells a watch for Rs. 552, he will make a profit of 15%. If he allows a discount of 5% for cash payment his actual profit percentage is:

If a shopkeeper sells a watch for Rs. $552$ , he will make a profit of $15 %$ . If he allows a discount of $5 %$ for cash payment his actual profit percentage is: