Question

Rohit's monthly income is 15% more than Ranjeet's monthly income and Ranjeet's monthly income is
20% less than Rohan's monthly income. What is the ratio of monthly income of Rohit to the monthly
income of Rohan?​

Answer 1

Answer:

23:25

Step-by-step explanation:

Let the monthly income of Rohan be Rs 100.

therefore, monthly income of Ranjeet is:

          ⇒ 20% less than that of Rohan

          ⇒ 20% less in 100

          ⇒ 100 - 20% of 100

          ⇒ 100 - (20/100) * 100

          ⇒ 100 - 20

          ⇒ 80

therefore,  monthly income of Rohit is:        

          ⇒ 15% more than that of Ranjeet

          ⇒ 15% more in 80

          ⇒ 80 + 15% of 80

          ⇒ 80 + (15/100) * 80

          ⇒ 80 + 12

          ⇒ 92

Hence,  required ratio is:  

⇒ income of Rohit : income of Rohan

⇒  92 : 100

⇒  23 : 25                    

Answer 2

Given :-

Rohit's monthly income is 15% more than Ranjeet's monthly income and Ranjeet's monthly income is  20% less than Rohan's monthly income

To Find :-

What is the ratio of the monthly income of Rohit to the monthly

income of Rohan?​

Solution :-

Let the income of Rohan be x

Income of Ranjeet

x - 20% of x

x - 20/100 × x

x - 20x/100

100x + 20x/100

80x/100

Income of Rohit

80x/100 + 15% of 80x/100

80x/100 + 15/100 × 80x/100

80x/100 + 1200x/10000

80x/100 + 12x/100

92x/100

Ratio = 92x/100 : x

Ratio = 92x/100 : 100x/100

Ratio = 92 : 100