As the price of a commodity is reduced by 15%, one person gets 2 kg more of the commodity at Rs. What is the actual value of the product?
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Answer:
Let the original price per kg of sugar be Rs. x
Then the reduced price per kg = Rs.
5
4x
Quantity of sugar that can be bought for Rs.160 originally Rs.
x
160
Quantity of sugar that can be bought for Rs.160 with reduced price =Rs.
4x/5
160
=160×
4x
5
Given 160×
4x
5
=
x
160
+
2
5
⇒
x
200
−
x
160
=
2
5
⇒
x
40
=
2
5
⇒x=16
∴ Original price per kg = Rs. 16
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