Question
Download Solution PDFIf the price of sugar decreases by 10%, a man enable to purchase 5 kg more sugar in Rs.450. Find the original price of sugar.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Decrease in price = 10%
Additional sugar purchased = 5 kg
Total amount spent = ₹450
Formula used:
Original price per kg = (Total amount ÷ (Quantity before decrease))
New price per kg = Original price per kg × (1 - 10/100)
Calculation:
Let original price per kg = x
Quantity before decrease = 450 ÷ x
Quantity after decrease = 450 ÷ (x × 0.9)
⇒ 450 ÷ (0.9x) - 450 ÷ x = 5
⇒ (450 - 450 × 0.9) ÷ (0.9x) = 5
⇒ (450 × 0.1) ÷ (0.9x) = 5
⇒ 45 ÷ (0.9x) = 5
⇒ 45 = 5 × 0.9x
⇒ 45 = 4.5x
⇒ x = 45 ÷ 4.5
⇒ x = 10
∴ The original price of sugar is ₹10 per kg.
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