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

$A$ vendor started selling vegetables at $Rs. 10$ per $kg$,but could not find buyers at this rate. So,he reduced the price to $Rs. 8.10$ per $kg$,but uses a faulty weight of $900\, g$ for $1\, kg$. Find the percent change in the actual price or loss. (in $\%$)

Rajesh purchased a mobile phone and a refrigerator for $Rs. 12000$ and $Rs. 10000$ respectively. She sold the refrigerator at a loss of $12\%$ and the mobile phone at a profit of $8\%$. What is her overall loss or profit?

The profit earned by a shopkeeper by selling a bucket at a gain of $8 \%$ is $Rs. 28$ more than when he sells it at a loss of $8 \%$. The cost price (in Rupees) of the bucket is

$A$ shopkeeper bought $30\, Kg$ of wheat at the rate of $Rs.\, 45$ per $Kg$. He sold $40\%$ of the total quantity at the rate of $Rs.\, 50$ per $Kg$. Approximately,at what price per $Kg$ should he sell the remaining quantity to make $25\%$ overall profit? (in $Rs.$)

If profit is $\left(\frac{1}{11}\right)$ of the selling price,what is the profit percent?

Vedclass Test Series

Exam Paper Generator

Online Exam Module