Due to decrease of 20% in the price of sugar, a person can buy 6 kg. more sugar for Rs. 60. Find the decreased price of sugar per kg?
Explanation:
Initially let the price of sugar be Rs. 'p' and quantity consumed be 'q'.
⇒ Expenditure = 60 = p × q ...(1)
New price = 0.8p and new quantity = q + 6
⇒ Expenditure = 60 = 0.8p × (q + 6) ...(2)
From (1) and (2)
p × q = 0.8p × (q + 6)
⇒ q = 0.8q + 4.8
⇒ 0.2q = 4.8
⇒ q = 24 kgs.
∴ New quantity = 24 + 6 = 30 kgs and
New price = 60/30 = Rs. 2/kg
Alternately, Because price reduces by 20%, he saves 20% of 60 = Rs. 12
Since he saves Rs. 12 he buys 6 kg more.
So new increased price of 6 kg. = 12 Rs.
Increased price of 1 kg = 12/6 = 2 Rs.
Hence, option (a).
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