By selling an article for Rs.,144, a person gained such that percentage gain equals cost price of co

English

Gujarati

Hindi

7.Profit and Loss

easy

By selling an article for $Rs.\,144,$ a person gained such that the percentage gain equals the cost price of the The cost price of the article is (in $Rs.$)

A

$90$

B

$80$

C

$75$

D

$60$

Solution

Let, the $C.P.$ of the article be $₹ x$ Then,

$\frac{144-x}{x} \times 100=x$

$\Rightarrow(144-x) \times 100=x^{2}$

$\Rightarrow x^{2}+100 x-14400=0$

$\Rightarrow x^{2}+180 x-80 x-14400=0$

$\Rightarrow x(x+180)-80(x+180)=0$

$\Rightarrow(x-80)(x+180)=0$

Therefore, $x=₹ 80$

Standard 13

Quantitative Aptitude

Share

Similar Questions

$X$ sells two articles for $Rs.\, 4,000$ each with no loss and no gain in the interaction. If one was sold at a gain of $25 \%$ the other is sold at a loss of……..$\%$

medium

An item costing $Rs.\, 200$ is being sold at $10 \%$ loss. If the price is further reduced by $5 \%,$ the selling price will be (in $Rs.$)

medium

A shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $Rs.\,56$ on one item. His advertised price of the item, in $Rs.$ is

medium

A sells an article to $B$ at a gain of $25 \%, B$ sells it to $C$ at a gain $20 \%$ and $C$ sells it to $D$ at a gain of $10 \% .$ If $D$ pays $Rs.\, 330$ for it, how much did it cost $A?$ (in $Rs.$)

hard

A shopkeeper mixes $26\, kg$ of wheat which cost $Rs$. $20$ a $kg$ with $30\, kg$ of wheat which cost $Rs.\,36$ a $kg$ and sells the mixture at $Rs.\,30$ a $kg.$ Find the profit percent.

medium