Mohit purchased 40, kg of wheat at Rs.,12 .50 per kg and 25, kg of wheat at Rs.,15.10 per kg. He mix

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7.Profit and Loss

medium

Mohit purchased $40\, kg$ of wheat at $Rs.\,12 .50$ per $kg$ and $25\, kg$ of wheat at $Rs.\,15.10$ per $kg.$ He mixed the two qualities of wheat for selling. At what rate should it be sold to gain $10 \% ?$ (in $Rs.)$

A

$13.25$

B

$13.50$

C

$14.75$

D

$14.85$

Solution

Total $CP$ of mixture $(40+25=65) kg$

would be $=$ $Rs.$ $(40 \times 12.5+25 \times 15.10)=$ $Rs.\,877.50$

$= CP$ of $1\,kg = Rs \cdot\left[\frac{877.50}{65}\right]= Rs.\,13 .5= Gain \%=\frac{10}{100}=\frac{ SP -13.5}{13.5}$

$SP$ of $1 kg$ mixture $= Rs .14 .85$

Standard 13

Quantitative Aptitude

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