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,
x−x+1000=x+x ⇒ 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.