An article was sold at x% profit for Rs. 875. When the same article was sold for Rs. 896, the profit made was 3% more than the previous profit. The value of x is:

Explanation

Given: Article was sold at x% profit for Rs. 875 The profit made was 3% more than the previous profit if the same article was sold for Rs. 896 Formula used: −CP P% = SPCP × 100 ​ Calculation: When article was sold at x% profit for Rs. 875 −CP P% = SPCP × 100 ​ x = 875−CP × 100 CP ......(1) ​ If profit percentage increases 3% then, Profit % = (x + 3)% (x + 3) = 896−CP × 100 CP ​ ......(2) Put the value of x in equation (2) from equation (1) 875−CP × 100 CP ​ ⇒ 87500−100CP CP ​ +3= 896−CP × 100 CP +3= 89600−100CP CP ​ ​ ⇒ 87500−100CP +3CP CP = ​ 89600−100CP CP ​ ⇒ 87500 - 97CP = 89600 - 100CP ⇒ 100CP - 97CP = 89600 - 87500 ⇒ 3CP = 2100 ⇒ CP = 2100/3 = 700 Now, From equation (1) x= 875−CP × 100 CP ​ ⇒ x = 875−700 × 100 700 ​ ⇒ x = 175 × 100 700 ​ ⇒ x = 17500/700 ⇒ x = 25 ∴ The value of x is 25 Shortcut Trick (x + 3)% - x% = 896 - 875 ⇒ 3% = 21 ⇒ 1% = 7 ⇒ 100% = 700 ∴ CP = 700 Profit(%) = x% = 875−700 × 100 700 ∴ The value of x is 25