A reduction of 20% in the price of salt enables a lady to obtain 10kgs more…
2023
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
- A.
2.5 kg
- B.
2 kg
- C.
2.25 kg
- D.
2.3 kg
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Correct answer: A
Solution: Let the original price per kg be p rupees.
After a 20% reduction the new price = 0.8p rupees/kg.
Kilograms purchasable with Rs 100 originally = 100/p. After reduction = 100/(0.8p) = 125/p.
Increase in quantity = 125/p - 100/p = 25/p, and this equals 10 kg as given.
Solve 25/p = 10 ⇒ p = 25/10 = 2.5 rupees per kg.
Answer: The original price is Rs 2.5 per kg.