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A man buys 4 tables and 5 chairs for Rs. 1000. If he sells the tables at 10 % profit and chairs at 20% profit, he earns a profit of Rs.120. What is the cost of one table?

A) Rs. 200
B) Rs. 220
C) Rs. 240
D) Rs. 260

Correct Answer:

A) Rs. 200

Description for Correct answer:

Let the cost of 1 table be Rs. x and the cost of 1 chair be Rs. y.

4x + 5y = 1000... (1)

CP table = 4x
Chair = 5y

SP Table
\( \Large4x \left( 1 + \frac{1}{10}\right) = \frac{44x}{10} \)

SP chair
\( \Large5y \left( 1 + \frac{1}{5}\right) = 6y\)

Now, SP - CP = Profit

So, \( \Large \left( \frac{4x}{10} - 4x \right) + 6y - (4x - 5y) = 120 \)

= > \( \Large\frac{4x}{10} + y = 120 \).... (2)

From (1) and (2), we get
X = 200

Part of solved Profit and Loss questions and answers : >> Aptitude >> Profit and Loss

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