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A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is the original price per kg of sugar ?
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- Rs. 10 per kg
- Rs. 8 per kg
- Rs. 6 per kg
- Rs. 5 per kg
Correct Option: A
Reduction in price = 20% ( 1 / 5 )
Increase in amount = 25 % (1 / 4) = 6 kg
It means original amount of sugar needed = 6 X 4 =24 kg
∴ Original price of the sugar = 240 / 24
= Rs. 10 per kg
Comments
ritesh sinha
June 21, 2018how does increase in amount comes?
Manjesh Ojha
June 21, 2018Let's assume the original price for sugar is P rupees/kg.
So after a 20% decrease in price the rate per kg sugar will be P - 20 % of P
= P - (P/5) = 4x/5
Now from the question,
{240/(4P/5)} - (240/P) = 6
⇒ 300/p - 240/p = 6
⇒ (300 - 240)/P = 6
⇒ P = 10 rupees per kg.