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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