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Answer :
In this case, the original rate of wheat per kg was 27.31.
Given that due to a reduction of 6 1/4 in the price of wheat, a man is able to buy 1 kg more for 135, we can determine the original rate of wheat per kg using the following steps:
Let the original rate of wheat per kg be x.
1. After the reduction of 6 1/4 (which is 25/4) in the price, the new rate of wheat per kg becomes x - 25/4.
2. Since the man is now able to buy 1 kg more for 135, we can set up the equation based on the total expenditure:
Original expenditure = New expenditure
135 = (x - 25/4) * (1 + 1)
3. Solve the equation for x:
135 = (x - 25/4) * (5/4)
135 = (5x/4 - 25/16)
135 = (80x - 25) / 16
135 * 16 = 80x - 25
2160 = 80x - 25
80x = 2185
x = 2185 / 80
4. Calculate the original rate of wheat per kg:
x = 27.31
Therefore, the original rate of wheat per kg was 27.31.
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