Rice is 40% costlier than wheat. By what per cent is wheat cheaper than rice?
To determine the percentage by which wheat is cheaper than rice, we first need to calculate the difference in cost between the two commodities.
Let's assume the cost of rice is x.
Given that rice is 40% costlier than wheat, we know that the cost of wheat is 40% less than the cost of rice. This can be expressed as:
Cost of wheat = (100% - 40%) * x
Cost of wheat = 60% * x
Cost of wheat = 0.6x
Now, we can calculate the difference in cost between rice and wheat:
Difference in cost = Cost of rice - Cost of wheat
Difference in cost = x - 0.6x
Difference in cost = 0.4x
To determine the percentage by which wheat is cheaper than rice, we can use the formula:
Percentage difference = (Difference in cost / Cost of rice) * 100
Percentage difference = (0.4x / x) * 100
Percentage difference = 40%
Therefore, wheat is 40% cheaper than rice.
R = 14/10 W
W = 10/14 R = .714 R
so, it's 28.6% less