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

$A$ fruit seller sells mangoes at the rate of $Rs. 9$ per $kg$ and thereby loses $20\%$. At what price per $kg$ should he have sold them to make a profit of $5\%$? (in $Rs.$)

$A$ sells an article to $B$ for $₹ 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

If the cost price of $12$ pens is equal to the selling price of $8$ pens,find the gain percent.

By selling an article at $80 \%$ of its marked price,a shopkeeper makes a loss of $10 \%$. What will be the profit percentage if he sells it at $95 \%$ of its marked price (in $\%$)?

By selling $90$ pens for $Rs. 80$,a man loses $20\%$. What should be the selling price (in $Rs.$) of $90$ pens for $20\%$ profit?

Vedclass Test Series

Exam Paper Generator

Online Exam Module