A man purchased 150 chairs each costing the same but 40 of them are damaged which cannot be sold He ...........

Quant (SSC) Profit and loss

A man purchased 150 chairs, each costing the same, but 40% of them are damaged which cannot be sold. He sold 50% of the remaining at 20% profit each and remaining at 5% loss each. If the total selling price of chairs is Rs. 7740, then what was the total cost price of all chairs?

13000

11000

12000

15000

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Explanation:

Let the cost price of a chair be Rs ‘x’
The cost price of 150 chairs = 150x
40% of them are damaged, then the remaining chairs = 60% of 150 = 90 The selling price of 50% of remaining chairs
= 45 × (x + 20x/100)
The selling price of remaining 50% chairs = 45 × (x - 5x/100)
According to the question –
⇒ 45 (x + 20x /100) + 45 (x - 5x/100) = 7740
⇒ 2x + 20x /100 - 5x /100 = 7740/45
⇒ x = 80
Hence the cost price of 150 chairs = 150x = 150 × 80 = Rs. 12000