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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $Rs.$?

Similar Questions

Raheem sells a machine for $RS. 48$ lakh at a loss. Had he sold it for $RS. 60$ lakh,his gain would have been $5$ times the former loss. Find the cost price of the machine in lakh $Rs.$?

Two items $A$ and $B$ are sold at a profit of $10 \%$ and $15 \%,$ respectively. If the amount of profit received is the same,then the cost price of $A$ and $B$ may be (in $Rs.$)

$A$ businessman allows a discount of $10 \%$ on the marked price. What percent above the cost price must he mark his goods to make a profit of $17 \% ?$

$A$ vendor buys bananas at $9$ for $Rs. 8$ and sells at $8$ for $Rs. 9$. What will be the profit or loss (in $\%$)?

$A$ manufacturer sells an article to a wholesale dealer at a profit of $20 \%$. The wholesale dealer sells it to a retail merchant at a loss of $5 \%$. Find out the resultant profit or loss.

Vedclass Test Series

Exam Paper Generator

Online Exam Module