Ravi earned 50% more money than Ajay. Ajay earned 30% less money than Madhan. By what percentage did Ravi earn more money than Madhan?

Correct option is A

​

Given:

Ravi earned 50% more money than Ajay 

Ajay earned 30% less money than Madhan

Solution:

Let the amount of money earned by Madhan be M .

Calculate Ajay's earnings.

Since Ajay earned 30% less than Madhan, Ajay's earnings are:

A = M Times (1 - 0.30) = M Times 0.70 = 0.7M

Thus, Ajay earned 0.7M .

Calculate Ravi's earnings.

Since Ravi earned 50% more than Ajay, Ravi's earnings are:

R = A Times (1 + 0.50) = 0.7M Times 1.5 = 1.05M

Thus, Ravi earned 1.05M .

Calculate the percentage by which Ravi earned more than Madhan.

The difference in earnings between Ravi and Madhan is:

R - M = 1.05M - M = 0.05M

To find the percentage by which Ravi earned more than Madhan:

Percentage Difference = $$\frac{R - M}{M} \times 100$$​​

=  $$\frac{0.05M}{M} \times 100$$​​

= 5%

Therefore, Ravi earned 5% more than Madhan.

Alternative Method:

Let the earning of Madhav = 100 unit 

Then the earning of Ajay = 70 unit  

Earning of  Ravi =  70 + 50% of 70 

                                = 70 + 35 

                                = 105 unit  

Ravi = $$\frac{105- 100}{100}\times100$$ 

Ravi earns 5% more than Madhan.

​