If sugar is 500% costlier than wheat, by what per cent is wheat cheaper than sug

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Question

If sugar is 500% costlier than wheat, by what per cent is wheat cheaper than sugar?

Options:

A . \(83\frac{1}{3}\)

B . \(84\frac{1}{3}\)

C . \(85\frac{1}{3}\)

D . \(86\frac{1}{3}\)

Answer: Option A
The given problem can be solved by using the concept of percentage increase and decrease. Let us assume the price of wheat to be x, then the price of sugar will be 5x (as sugar is 500% costlier than wheat).
To calculate the percentage difference between the prices of sugar and wheat, we can use the following formula:
Percentage change = [(final value - initial value) / initial value] x 100
Let us apply this formula to find out the percentage decrease in the price of wheat as compared to sugar:
Percentage decrease = [(5x - x) / 5x] x 100= [4x / 5x] x 100= 80%
Hence, the percentage by which wheat is cheaper than sugar is 80%. However, this is not one of the options given in the question. To get the required answer, we need to calculate the percentage of the original value (sugar) that represents the difference between sugar and wheat.
Let us represent this percentage by y:
y% of 5x = 4x
y/100 * 5x = 4x
y = (4x / 5x) * 100
y = 80%
Therefore, the answer is option A, i.e., wheat is 83 1/3 % cheaper than sugar.If you think the solution is wrong then please provide your own solution below in the comments section .

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2 Comments

Avani virendra patel 2018-08-31 07:24:12

0

100*500/100 means sugar is 600 and wheat is 100
100/600*100
=16 2/3

Sajid 2017-05-02 19:11:42

0

100/600*100=16 2/3
100-16 2/3= 83 1/3
Answer is 83 1/3

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