A manufacturer fixes his selling price at 33 | vedclass

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Question

(C) Let the initial cost price $(C.P.)$ be $₹ 100$.The initial selling price $(S.P.)$ is fixed at $33 \%$ above the cost price,so $S.P. = 100 + 33 = ₹

Vedclass · Accepted Answer

$30 \frac{5}{8} \%$

Vedclass · Answer

(C) Let the initial cost price $(C.P.)$ be $₹ 100$.The initial selling price $(S.P.)$ is fixed at $33 \%$ above the cost price,so $S.P. = 100 + 33 = ₹ 133$.If the cost of production increases by $12 \%$,the new cost price $(C.P.')$ becomes $100 + 12 = ₹ 112$.The manufacturer raises the selling price by $10 \%$,so the new selling price $(S.P.')$ becomes $133 + (10 \% 	ext{ of } 133) = 133 + 13.3 = ₹ 146.3$.The new profit is $S.P.' - C.P.' = 146.3 - 112 = ₹ 34.3$.The new profit percentage is $\frac{	ext{Profit}}{C.P.'} 	imes 100 = \frac{34.3}{112} 	imes 100 = \frac{3430}{112} = 30.625 \%$.Converting $0.625$ to a fraction: $0.625 = \frac{625}{1000} = \frac{5}{8}$.Thus,the profit percentage is $30 \frac{5}{8} \%$.

$A$ manufacturer fixes his selling price at $33 \%$ over the cost of production. If the cost of production goes up by $12 \%$ and the manufacturer raises his selling price by $10 \%$,what is his new percentage profit?

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