A trader sells his table at a profit of 15 % | vedclass

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

Question

(B) Let the cost price of the table be $Rs. t$ and that of the chair be $Rs. c.$According to the first condition:$0.15t - 0.075c = 50$Multiplying by $

Vedclass · Accepted Answer

$\frac{4000}{9}$

Vedclass · Answer

(B) Let the cost price of the table be $Rs. t$ and that of the chair be $Rs. c.$According to the first condition:$0.15t - 0.075c = 50$Multiplying by $100$ to simplify:$15t - 7.5c = 5000$$15t - \frac{15}{2}c = 5000$$30t - 15c = 10000$ $...(1)$According to the second condition:$-7.5t + 15c = 0$$15c = 7.5t$$c = \frac{7.5}{15}t = 0.5t = \frac{t}{2}$ $...(2)$Substituting $(2)$ into $(1)$:$30t - 15(\frac{t}{2}) = 10000$$60t - 15t = 20000$$45t = 20000$$t = \frac{20000}{45} = \frac{4000}{9}$Thus,the cost price of the table is $Rs. \frac{4000}{9}$.

$A$ trader sells his table at a profit of $15 \%$ and the chair at a loss of $7 \frac{1}{2} \%,$ but on the whole he gains $Rs. 50.$ If he sells the table at a loss of $7 \frac{1}{2} \%,$ and the chair at a profit of $15 \%,$ then he neither gains nor loses. Find the cost price of the table.

Similar Questions

The cost price of $40$ articles is the same as the selling price of $25$ articles. Find the gain percent. (in $\%$)

At what price should a shopkeeper mark a radio that costs him $Rs. 1200$ in order that he may offer a discount of $20 \%$ on the marked price and still make a profit of $25 \% ?$

By selling $80$ ball pens for $₹ 140$,a retailer loses $30 \%$. How many ball pens should he sell for $₹ 104$ so as to make a profit of $30 \%$?

$A$ single discount,equivalent to a successive discount of $40 \%$ and $30 \%$ is in $\%$?

$A$ trader mixes three varieties of groundnuts costing $Rs. 50$,$Rs. 20$,and $Rs. 30$ per $kg$ in the ratio $2:4:3$ by weight and sells the mixture at $Rs. 33$ per $kg$. What is the percentage of profit he makes?

Vedclass Test Series

Exam Paper Generator

Online Exam Module