Two-third of a 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 (rupees) was :

20000

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15000

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12000

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10000

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Solution

The correct option is B 15000
Let the total value be Rs.x
$V a l u e o f \frac{2}{3} r d = \frac{2 x}{3},$

$V a l u e o f \frac{1}{3} r d = \frac{x}{3} .$

$T o t a l S P . = (105 o f \frac{2 x}{3} + 98 o f \frac{x}{3})$

$= (\frac{210 x}{300} + \frac{98 x}{300})$

$= \frac{308 x}{300} \frac{308 x}{300} - x = 400 \Rightarrow \frac{308 x - 300 x}{300} = 400 x = 15000$

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