Savita buys 5 shirts and 10 pants for Rs. 160 | vedclass

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(C) Let $p$ be the cost price of a shirt and $q$ be the cost price of a pant in $Rs.$Given that the total cost price of $5$ shirts and $10$ pants is $

Vedclass · Accepted Answer

$200, 60$

Vedclass · Answer

(C) Let $p$ be the cost price of a shirt and $q$ be the cost price of a pant in $Rs.$Given that the total cost price of $5$ shirts and $10$ pants is $Rs. 1600$,we have:$5p + 10q = 1600$  --- $(i)$Profit on $5$ shirts at $15\%$ is $\frac{15}{100} 	imes 5p = 0.75p$.Loss on $10$ pants at $10\%$ is $\frac{10}{100} 	imes 10q = q$.Given the overall profit is $Rs. 90$:$0.75p - q = 90$  --- $(ii)$From $(ii)$,$q = 0.75p - 90$.Substitute this into $(i)$:$5p + 10(0.75p - 90) = 1600$$5p + 7.5p - 900 = 1600$$12.5p = 2500$$p = \frac{2500}{12.5} = 200$.Now,find $q$:$q = 0.75(200) - 90 = 150 - 90 = 60$.Thus,the cost price of a shirt is $Rs. 200$ and a pant is $Rs. 60$.

Savita buys $5$ shirts and $10$ pants for $Rs. 1600$. She sells shirts at a profit of $15\%$ and pants at a loss of $10\%$. If her overall profit was $Rs. 90$,what was the cost price of a shirt and a pant in $Rs.$?

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