a grocer purchased 200 kg of rice at rupees 25 per kg is sold 80 kg it at a gain of 10% and 40 kg at a loss of 4% at what rate per kg should he sell the reminder to give 8% on his total investment
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Step-by-step explanation:
Given
a grocer purchased 200 kg of rice at rupees 25 per kg is sold 80 kg it at a gain of 10% and 40 kg at a loss of 4% at what rate per kg should he sell the reminder to give 8% on his total investment
- One kg of rice costs Rs 25
- Therefore cost price of 200 kg will be 200 x 25
- = Rs 5000
- Now cost price of 80 kg rice will be 80 x 25
- = Rs 2000
- Selling price of 80 kg rice sold at a gain of 10% will be
- = 100 + Gain % / 100 x C.P
- = 100 + 10 / 100 x 2000
- = 110 / 100 x 2000
- = Rs 2200
- Cost price of 40 Kg rice sold at 4% loss = 40 x 25
- = Rs 1000
- Selling price of 40 Kg rice sold at 4% loss = 100 – Loss % / 100 x C.P
- = 100 – 4 / 100 x 1000
- = Rs 960
- Now selling price with profit of 8% on total value = 100 + gain % / 100 x C.P
- = 100 + 8 / 100 x 5000
- = 108 / 100 x 5000
- = Rs 5400
- Now total weight of rice sold = 80 + 40 = 120 kg
- Remaining weight of rice to be sold = 200 – 120 = 80 kg
- Total amount obtained from selling rice = 2200 + 960 = Rs 3160
- Now difference will be 5400 – 3160 = Rs 2240
- So the rate of rice will be 2240 / 80 = Rs 28
- Reference link will be
- https://brainly.in/question/47087
- https://brainly.in/question/2514132
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