'A ^{prime} sells an article to 'B ^{prime} at a gain of 20 % and ' B ^{prime} sells it

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7.Profit and Loss

hard

$'A ^{\prime}$ sells an article to $'B ^{\prime}$ at a gain of $20 \%$ and $' B ^{\prime}$ sells it to $'C ^{\prime}$ at a gain of $10 \%$ and $'C ^{\prime}$ sells it to $'D'$ at a gain of $12 \frac{1}{2} \%$. If ${ }^{\prime} D$ ' pays $Rs.\, 29.70$ what did it cost to $'A ^{\prime} ?$ (in $Rs.$)

A

$20$

B

$24$

C

$18$

D

None of these

Solution

Here, $m=20, n=10, p=\frac{25}{2}$

$z=₹ 29.70$

$\therefore$ cost price of $A$

$=\left[\frac{100^{3} z}{(100+m)(100+n)(100+p)}\right]$

$=\left(\frac{100 \times 100 \times 100 \times 29.70 \times 2}{120 \times 110 \times 225}\right)$

$=\left(\frac{100 \times 100 \times 100 \times 29.70 \times 2}{120 \times 110 \times 225}\right)=Rs. 20$

Standard 13

Quantitative Aptitude

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