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7.Profit and Loss
hard
Two third of consignment was sold at a profit of $5 \%$ and the remainder at a loss of $2 \%$. If the total profit was $Rs.\, 400$ , the value of the consignment was in $Rs.$?
A
$12000$
B
$14000$
C
$15000$
D
Cannot be determined
Solution
Let the total value be $Rs\,\, x$
then value of $\frac{2}{3} r d=R s . \frac{2 x}{3}$
value of $\frac{1}{3} rd = Rs \cdot \frac{ x }{3}$
According to question
$\frac{2}{3} x\left(\frac{5}{100}\right)-\frac{1}{3} \times\left(\frac{2}{100}\right)=400$
$\frac{x}{30}-\frac{x}{150}=400 \Rightarrow \frac{5 x-x}{150}=400$
$\Rightarrow x=$ $Rs. 15000$
Standard 13
Quantitative Aptitude