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A merchant has 120 kg of rice. He sells a part of it at a profit of 10% and the rest at a profit of 25%. He gains 15% on the whole. The quantity of rice sold at a profit of 25% is1. 50 kg2. 55 kg3. 40 kg4. 30 kg |
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Answer» Correct Answer - Option 3 : 40 kg The total amount of rice = 120 kg He sells a part of it at a profit of 10 %, let this part is ‘x’ kg. He sells the rest at a profit of 25%, i.e. he sells (120 – x) at 25% He gains a profit of 15% on the whole. Let the cost price is = y ⇒ 1.1 xy + 1.25 (120 – x)y = 1.15 × 120 y ⇒ 1.1 x + 1.25 (120 – x) = 1.15 × 120 ⇒ 1.1x + 150 – 1.25 x = 138 ⇒ 0.15 x = 12 ⇒ x = 80 kg The quantity of rice sold at a profit at 25% = 120 – x = 40 kg |
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