A sells an article to B at gain of 25% B sells it to C at a gain of 20% and C sells it to D at a gain 10%. If D pays Rs. 330 for it, how much did it cost to A?
A. Rs. 200 B. Rs. 250 C. Rs. 275 D. Rs. 290 Answer: Option AShow Answer
Solution(By Apex Team)
First Method
Let Cost Price for A was 100
Then CP for B = 100 + 25% of 100 = 125
CP for C = 125 + 20% of 125 = 150
CP for D = 150 + 10% of 150 = 165
But, D pay Rs. 330, Then it must be equal to
$\begin{array}{l}165=330\\
1=\frac{330}{165}\\
100=\frac{330\times100}{165}=200\\
\text{Thus CP for A = Rs. 200}\end{array}$
Short-cut
A’s CP $=330 \times \frac{100}{125} \times \frac{100}{120} \times \frac{100}{110}=\text { Rs. } 200$
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