Question

Mike earns 20% less than David. How much is David's income more than Mike's?​

Answer 1

Answer:

40%

Explanation:

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Answer 2

David's income is 25% more than Mike's.

Given,

Mike earns 20% less than David

To Find,

How much is David's income more than Mike's

Solution,

Let us assume that David earns Rs. X. Now from the given conditions, Mike earns 20% less than David.

20% of David's salary = 20% of X = 0.2X

Mike's salary = David's salary - 20% of David's salary

= X - 0.2X

= 0.8X

Therefore, if David earns Rs. X, the Mike would earn Rs. 0.8X.

Now, if Mike's income is Rs. 0.8X, then David's income should be X

Let David's income be Y% more than Mike's income

David's Salary = Mike's Salary + Y% of Mike's Salary

X = 0.8X + Y/100 × 0.8X

X = 0.8X (1+Y/100)

X = 0.8X (100+Y)/100

100X = 0.8X(100+Y)

100+Y = 100X / 0.8X

100+Y = 125

Y = 125-100

Y = 25%

Therefore, David's income is 25% more than Mike's.

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