Question

Naresh monthly invome is 30% more than that od raghu.Raghus monthly income is 20% less than that of vishal.If the difference between the monthly incomes of naresh and vishal is rs 800 what is the monthlu income of raghu

Answer 1

Answer:

Raghus income is Rs: 16000.

Step-by-step explanation:

Let

Naresh monthly income = x

Raghus monthly income = y

Vishal monthly income = z

30 % of y = 30y / 100

20 % of y = 20y / 100

Then

According To First Condition

   x = y + 30 % of y = y + 30y/100    

⇒ x = y + 30y/100      

⇒ x = 100y/100 + 30y/100

⇒ x = 130y/100       .............(1)

According To Second Condition  

    y = z - 20 % of z = z - 20z/100

⇒ y = 100z/100 - 20z/100        

⇒ y = 80z/100   ........(2)

According To Third Condition          

     x - z = 800    

⇒       x = 800 + z       ........(3)

Putting  "x = 800 + z" in equation (1) we get

    800 + z = 130y/100

⇒            z = 130y/100 - 800    .....(4)

Putting "z = 130y/100 - 800"  in equation (2) we get

               y = 80(130y/100 - 800)/100

Multiplying by 100 on both sides we get

               100y = 80(130y/100 - 800)

⇒            100y = 104y - 64000

⇒ 100y - 104y = - 64000

⇒                -4y = - 64000

Dividing by -4 on both sides we get

                      y = 16000

So

Raghus income is Rs: 16000.

Answer 2

Answer:

Rs 16000

Step-by-step explanation:

Naresh monthly invome is 30% more than that od raghu.Raghus monthly income is 20% less than that of vishal.If the difference between the monthly incomes of naresh and vishal is rs 800

Let say Vishal  Income =  V  Rs

Raghu income is 20% less than of Vishal

Raghu income = V - (20/100)V  = 0.8V Rs

Naresh income 30% more than that of raghu

Naresh Income = 0.8V  + (30/100)(0.8V)  = 1.04V

Difference in income of naresh and vishal is rs 800

1.04 V  -  V  = 800

=>  .04V = 800

=> V = 20000

Raghu = 0.8*20000 = Rs 16000

Raghu income = Rs 16000