A dealer sold a scooter at a loss of 5.5%. Had he sold it for Rs. 1000 more, he would have gained a profit of 4.5%. Find the selling price to gain a profit of 12%.
Tips & Tricks Let cost price of the article be Rs. ‘x’, then, Selling price in fiRs.t case = x – x × (5.5/100) When scooter is sold at Rs. 1000 more, then, Selling price in second case = x – x × (5.5/100) + 1000 {which gives a profit of 4.5%} Hence,
⇒ 1000 = (10/100)x ⇒ x = Rs. 10,000 = Cost price of the article. Now, to gain a profit of 12%, Selling price of the article = Rs. {10000 × 112/100} = Rs. 11,200 Hence, the required selling price of the article is Rs. 11,200. Alternate Method (Short trick): (5.5% + 4.5%) of CP = 1000 ⇒ 10% of CP = 1000 ⇒ CP = Rs. 10,000 Required selling price to gain 12% = Rs. (10000 × 112/100) = Rs. 11,200.