Question

Suresh's monthly income is 30% more than that of vinod. Vinod's monthly income is 20% less than that of vinay. If the difference between monthly income of suresh and vinay is rs 800. What is monthly income of vinod?

Answer 1

Answer:

Rs 800

Step-by-step explanation:

Let the monthly income of Suresh = z;

Let the monthly income of Vinod = y;

Let the monthly income of Vinay = x;

Given;

Monthly income of Suresh = 30% more than Vinod

=> z = y + 30% of y  

Also given;

Monthly income of Vinod = 20% less than Vinay

=> y = x - 20% of x

=> y = x - (20/100) * x

=> y = (100x - 20x)/100

=> y = 80x/100

=> y = 4x/5

Now, monthly income of Suresh = z

=> z =  y + 30% of y  

=> z = (4x/5) + (30/100)*(4x/5)

=> z = (400x + 120x)/500

=> z = 520x/500

=> z = 46x/25

Also given;

The difference between monthly income of suresh and vinay is Rs 800

=> z - x = 800

=> (46x/25) - x = 800

=> 46x - 25x = 800 * 25

=> 21x = 800 * 25

=> x = (800 * 25)/21

=> x = 1000

Hence, the monthly income of Vinay = x = Rs 1000

Therefore, the monthly income of Vinod = y = 4x/5 = (4 * 1000)/5 = Rs 800