Question : Three-fourths of a consignment was sold at a profit of 8% and the rest at a loss of 4%. If there was an overall profit of Rs. 600, then find the value of the consignment.
Option 1: Rs. 15,000
Option 2: Rs. 6,000
Option 3: Rs. 18,000
Option 4: Rs. 12,000
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Correct Answer: Rs. 12,000
Solution :
Let the total consignment be 4 units.
⇒ Total profit $=\frac{3 × 8\% - 1 × 4\%}{4}=\frac{20\%}{4}=5\%$
According to the question,
5% of the total = Rs. 600
$\therefore$ Value of the consignment = 100% of the total = $\frac{600×100}{5}$ = Rs. 12000
Hence, the correct answer is Rs. 12,000.
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