Quantity I: Overall profit percentage if the | vedclass

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Question

(B) Quantity $I$: Let the cost price $(CP)$ of each shirt be $Rs. 100$.
Total $CP = 100 + 100 = Rs. 200$.
Selling price $(SP)$ of the first shirt at

Vedclass · Accepted Answer

Quantity $I < $ Quantity $II$

Vedclass · Answer

(B) Quantity $I$: Let the cost price $(CP)$ of each shirt be $Rs. 100$.
Total $CP = 100 + 100 = Rs. 200$.
Selling price $(SP)$ of the first shirt at $20 \%$ profit $= 100 	imes 1.20 = Rs. 120$.
Selling price $(SP)$ of the second shirt at $10 \%$ loss $= 100 	imes 0.90 = Rs. 90$.
Total $SP = 120 + 90 = Rs. 210$.
Overall profit percentage $= \frac{210 - 200}{200} 	imes 100 = \frac{10}{200} 	imes 100 = 5 \%$.
Quantity $II$: Let the $CP$ of $1 \, m$ of cloth be $Rs. x$.
Profit on $20 \, m$ cloth $= CP$ of $5 \, m$ cloth $= 5x$.
Profit percentage $= \frac{	ext{Profit}}{	ext{Total } CP} 	imes 100 = \frac{5x}{20x} 	imes 100 = \frac{1}{4} 	imes 100 = 25 \%$.
Comparing the two quantities: $5 \% < 25 \%$,therefore Quantity $I < $ Quantity $II$.

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