A person buys 5 tables and 9 chairs for Rs. 15,400. He sells the tables at 10% profit and chairs at 20% profit. If his total profit on selling all the tables and chairs is Rs. 2,080 what is the cost price of 3 chairs?

Question

Question

This question was previously asked in

SSC CGL Previous Paper 68 (Held On: 4 March 2020 Shift 1)

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Answer 1

10% of 15400 = 1540

20% of 15400 = 3080

Using allegation method

1540 3080

2080

1000 : 540

Ratio of cost price of 5 tables and 9 chairs = 1000x : 540x

1000x + 540x = 1540x

⇒ 1540x = 15400

⇒ x = 15400/1540

⇒ x = 10

Cost price of 9 chairs = 540 × 10 = 5400

⇒ Cost price of 1 chair = 5400/9 = 600

∴ Cost price of 3 chairs = 3 × 600 = 1800

Detailed Method:

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

5x + 9y = 15400 ...1)

According to the question

5x × (10/100) + 9y × (20/100) = 2080

⇒ 5x/10 + 18y/10 = 2080

⇒ 5x + 18y = 20800 ...2)

Subtract equation (1) from equation (2).

9y = 5400

⇒ 3y = 1800

∴ Cost of 3 chairs are Rs. 1,800.