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Due to 20% increase in price, 8 kg less sugar is available for Rs. 480. What should be the quantity of sugar purchased so that there is no change in expenditure?
- A40 kg
- B20 kg
- C48 kg
- D24 kg
Answer not set
Discussion 1
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CCommunity
Let at first, the price of sugar per kg = a
After 20% increase, price of sugar per kg = (a + a × 20/100) = 6a/5
According to problem,
480/a – 480/(6a/5) = 8 [? 8 kg less sugar available after price increase]
480/a – 400/a = 8
⇒ 80/a = 8
⇒ a = 10
∴ After 20% increase, price of sugar per kg = 6 × 10/5 = 12
∴ Quantity of sugar purchased = 480/12 = 40kg
After 20% increase, price of sugar per kg = (a + a × 20/100) = 6a/5
According to problem,
480/a – 480/(6a/5) = 8 [? 8 kg less sugar available after price increase]
480/a – 400/a = 8
⇒ 80/a = 8
⇒ a = 10
∴ After 20% increase, price of sugar per kg = 6 × 10/5 = 12
∴ Quantity of sugar purchased = 480/12 = 40kg