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The percentage of loss when a utensil is sold at Rs. 1000 is the same as that of the profit% when it is sold at Rs. 1800. Find the percentage of profit or loss on the utensil.1. 60%2. (200/3)%3. (200/9)%4. (200/7)% |
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Answer» Correct Answer - Option 4 : (200/7)% Given: Case I SP = Rs. 1000 Case II SP = Rs. 1800 Formula used: P = S.P. – C.P. L = C.P. – S.P. P% = (P/C.P.) × 100 L% = (L/C.P.) × 100 Where, P → Profit L → Loss SP → Selling price CP → Cost price Calculations: Let the C.P. be x. According to question {(x – 1000)/x} × 100 = {(1800 – x)/x} × 100 ⇒ x(x – 1000) = x(1800 – x) ⇒ 2x = 2800 ⇒ x = 1400 So, loss = 1400 – 1000 = 400 L% = 100 × (400/1400) = (200/7)% ∴ The loss% is (200/7)%. |
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