Question
Download Solution PDFA reduction of 20% in the price of rice enables a customer to purchase 125 kg more for ₹ 8,000. What the original price of rice per kg?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A reduction of 20% in the price of rice enables a customer to purchase 125 kg more for ₹ 8,000.
Formula used:
Let the original price per kg be ₹x.
New price per kg = x - 0.2x = 0.8x.
Original quantity = 8000 / x.
New quantity = 8000 / 0.8x.
New quantity - Original quantity = 125 kg.
Calculation:
8000 / 0.8x - 8000 / x = 125
⇒ (8000 / 0.8x - 8000 / x = 125)
⇒ (8000 / 0.8x - 8000 / x = 125)
⇒ (8000 / 0.8x - 8000 / x = 125)
⇒ (8000 × 1.25 / x) - (8000 / x) = 125
⇒ (10000 / x - 8000 / x = 125)
⇒ (2000 / x = 125)
⇒ x = 2000 / 125
⇒ x = 16
∴ The correct answer is option 1.
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