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7.Profit and Loss
hard
If Aditya sells an article to Nutan at $10 \%$ gain, while Nutan sells it to Manish at $20 \%$ gain at $Rs.\, 1914$ then what is the Cost Price in $Rs.$?
A
$1450$
B
$1340$
C
$1560$
D
$1780$
Solution
Let the original price bought by Aditya $=$ $Rs. 100$
Aditya Nutan Manish
$100 \stackrel{10 \% \text { gain }}{\longrightarrow}$ $110$ $\stackrel{20 \% \text { gain }}{\longrightarrow}$ $132$
If Manish bought goods at $Rs. 132$
Initial $C P=R s .100$
Now, Manish bought goods at $Rs. 1914$
Initial $C P=Rs.$ $\left[\frac{100}{132} \times 1914\right]=$ $Rs. 1450$
Standard 13
Quantitative Aptitude