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 g

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7.Profit and Loss

hard

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 $Rs.$)

A

$200$

B

$250$

C

$275$

D

$290$

Solution

Let, A buy the article in $₹100.$

According to the question,

$B ^{\prime} s \operatorname{cost}=₹ 125$

$C ^{\prime} s \operatorname{cost}=₹ 125\left(\frac{100+20}{100}\right)=₹ 150$

$D ^{\prime} s$ cost $=₹ 150\left(\frac{100+10}{100}\right)=₹ 165$

Here, at the end the article was sold out at ₹ $165 .$

$\therefore \quad$ Required cost for $A=\frac{330}{165} \times 100=Rs. 200$

Standard 13

Quantitative Aptitude

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