Percentages
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Q.

The cost of raw material of a product increases by $30%$, the manufacturing cost increases by $20%$ and the selling price of the product increases by $60%$. The raw material and the manufacturing cost, originally, formed $40%$ and $60%$ of the total cost respectively. If the original profit  $%$ was one-fourth the original manufacturing cost, find the approximation new profit percentage.

 A.

$48.39\%$

 B.

$54.68\%$

 C.

$62.48\%$

 D.

$42.36\%$

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Solution:
Option(A) is correct

Let the total initial cost of the product be Rs 100.

Manufacturing cost = Rs 60

Raw materials cost = Rs 40

Also, original selling price

$=$ Rs$100+\dfrac{60}{4}=$ Rs 115

New raw material cost 

$=$ Rs $40+30\%$ of $40 =$ Rs $52$.

New manufacturing cost 

$=$ Rs $60+20\%$ of $60=$ Rs $72$

New cost of the product = Rs124

New selling price 

$=115+60\%$ of $115= $Rs $184$

New profit percentage

\(=\dfrac{60}{124}\times 100\)

\(=48.38\%\)


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