A sells an article to B at a gain of 20 %,B s | vedclass

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

Question

(C) Let the cost price $(C.P.)$ for $A$ be $₹ x$.According to the problem,the successive gains are $20 \%$,$10 \%$,and $12 \frac{1}{2} \%$ (which is $

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(C) Let the cost price $(C.P.)$ for $A$ be $₹ x$.According to the problem,the successive gains are $20 \%$,$10 \%$,and $12 \frac{1}{2} \%$ (which is $12.5 \%$ or $\frac{25}{2} \%$).The selling price for $A$ is $x 	imes (1 + \frac{20}{100}) = x 	imes \frac{120}{100}$.The selling price for $B$ is $(x 	imes \frac{120}{100}) 	imes (1 + \frac{10}{100}) = x 	imes \frac{120}{100} 	imes \frac{110}{100}$.The selling price for $C$ (which is the price $D$ pays) is $(x 	imes \frac{120}{100} 	imes \frac{110}{100}) 	imes (1 + \frac{12.5}{100}) = x 	imes \frac{120}{100} 	imes \frac{110}{100} 	imes \frac{112.5}{100}$.Given that $D$ pays $₹ 29.70$,we have:$x 	imes \frac{120}{100} 	imes \frac{110}{100} 	imes \frac{112.5}{100} = 29.70$$x 	imes \frac{6}{5} 	imes \frac{11}{10} 	imes \frac{9}{8} = 29.70$$x 	imes \frac{594}{400} = 29.70$$x = \frac{29.70 	imes 400}{594} = \frac{11880}{594} = 20$.Thus,$A$ purchased the article for $₹ 20$.

$A$ sells an article to $B$ at a gain of $20 \%$,$B$ sells it to $C$ at a gain of $10 \%$,and $C$ sells it to $D$ at a gain of $12 \frac{1}{2} \%$. If $D$ pays $₹ 29.70$,then $A$ purchased the article for (in $₹$):

Similar Questions

Aditya bought a scooter for a certain sum of money. He spent $15 \%$ of the cost price on repairs and sold it for a profit of $Rs. 1104$. What did he spend on repairs if the profit he earned was $20 \%$?

$A$ man purchases some oranges at the rate of $3$ for $₹ 40$ and the same quantity at $5$ for $₹ 60$. If he sells all the oranges at the rate of $3$ for $₹ 50$,find his gain or loss percent (to the nearest integer).

The cost of an article including the sales tax is $Rs. 616$. The rate of sales tax is $10 \%$. If the shopkeeper has made a profit of $12 \%$,then the cost price of the article is in $Rs.$?

Sita sells a calculator to Gita at a gain of $17 \%$ and Gita sells it to Anu at a loss of $25 \%$. If Anu pays $Rs. 1842.75$ for it,then what did Sita pay for it? (in $Rs.$)

The cost price of $6$ pens is equal to the selling price of $4$ pens. Find the profit percent. (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module