A reduction of 20% in the price of sugar enables a purchaser to obtain 212 kg more for Rs. 160. Find the original price per kg of sugar.
Rs. 16
Rs. 20
Rs. 12
Rs. 24
A
Rs. 16
B
Rs. 12
C
Rs. 20
D
Rs. 24
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Solution
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Let the original price per kg of sugar be Rs. x Then the reduced price per kg = Rs.4x5
Quantity of sugar that can be bought for Rs.160 originally Rs.160x Quantity of sugar that can be bought for Rs.160 with reduced price =Rs.1604x/5=160×54x Given 160×54x=160x+52⇒200x−160x=52⇒40x=52⇒x=16 ∴ Original price per kg = Rs. 16
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