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Kewal bought 5 tables and 13 chairs for a total of Rs. 14,220. He sold the tables at a profit of 15% and the chairs at a loss of 10%. If his profit in the entire transaction is Rs. 378, then what is the difference (in Rs.) between the cost price of 2 tables and the cost price of 3 chairs?

Kewal bought 5 tables and 13 chairs for a total of Rs. 14,220. He sold the tables at a profit of 15% and the chairs at a loss of 10%. If his profit in the entire transaction is Rs. 378, then what is the difference (in Rs.) between the cost price of 2 tables and the cost price of 3 chairs? Correct Answer 1260

Given:

Kewal bought 5 tables and 13 chairs for a total of Rs. 14,220. He sold the tables at a profit of 15% and the chairs at a loss of 10%

Profit = Rs. 378

Concept used:

Profit = Selling price - Cost price 

Calculation:

Let the cost price of one table and one chair be Rs. x and Rs. y respectively.

5x + 13y = 14220      ----(1)

According to the question

5x × (15/100) - 13y × (10/100) = 378

⇒ 75x/100 - 130y/100 = 378

⇒ 15x - 26y = 7560      ----(2)

By multiplying 2 with eq (1) we get

10x + 26y = 28440      ----(3)

Adding equation (2) and equation (3)

25x = 36000

⇒ x = 1440

So,

13y = 14220 - 5 × 1440

⇒ 13y = 7020

⇒ y = 540

Now,

Cost of 2 tables = 1440 × 2 = 2880

Cost of 3 chairs = 540 × 3 = 1620

Difference = 2880 - 1620

⇒ 1260

∴ Required answer is Rs. 1260

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