If an article is sold at 5% profit instead of 8% loss, the man gains Rs. 260

Explanation

⇒ Let Cost Price (C.P) of article be Rs. 100x ⇒ Selling Price (S.P) of article at 5% profit = 100x + 5% of 100x = 105x ⇒ S.P of article at 8% loss = 100x - 8% of 100x = 92x ⇒ Profit = Rs. 260 ⇒ Profit = S.P at 5% profit - S.P at 8% loss ⇒ Profit = 105x - 92x = 13x ⇒ 13x = 260 ⇒ x = 20 ∴ C.P of article = 100x = 100 × 20 = Rs. 2000 66. Answer: b Explanation: ⇒ Profit = 10% (given) ⇒ Let Cost Price be 100 ⇒ Selling Price at 10% profit = 110 ⇒ Ratio of Cost Price to Selling Price = 100 / 110 ∴ Ratio of cost price to selling price = 10 : 11