a reduction of 20℅ in the price of sugar enables a Customer to obtain 2 kg more for rs.160 find the origin price per kg
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Let the price be x.
The price after the reduction is :
0.8x
The quantity obtained is :
160/0.8x
The quantity before is :
160/x
This is 2 kg less after decrees in price hence
160/x + 2 = 160/0.8x
160 + 2x = 160x/0.8x
160 + 2x = 160/0.8
160 × 0.8 + 2x × 0.8 = 160
128 + 1.6x = 160
1.6x = 160 - 128
1.6x = 32
x = 20
The original cost is Rs 20
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