Discussion
Jacob bought a table for a certain sum of money. He spent 20% of the cost on repairs and sold the table for a profit of ₹ 1,200. How much did he spend on repairs if he made a profit of 25% ?
Answer: C
He spent ₹ 800 on repairs.
Let the purchase price be C. Repairs cost 0.2C, so his total cost is 1.2C. A 25% profit on that cost equals ₹ 1,200:
\[ \begin{aligned} 0.25 \times 1.2C &= 1200 \\ 0.3C &= 1200 \\ C &= 4000 \end{aligned} \]
Repairs = \(0.2 \times 4000 = 800\). Check: total cost 4800, selling price 6000, profit 1200, which is 25% of 4800.
The other figures fail the check: with repairs of ₹ 500 the purchase price would be 2,500 and the 25% profit 750, not 1,200.
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