1.

Rohit, Vikas, and Pankaj have a total amount of2800 with them. Rohit has 200 more than Vikas.Pankaj has 4 times the money as Rohit has. Howmuch money does each of them have?​

Answer»

Answer:

Amount with Vikas = 300 rupees

Amount with Rohit = 500 rupees

Amount with Pankaj = 2000 rupees

Step-by-step explanation:

Given:

  • Rohit, Vikas and Pankaj have a total amount of Rs.2800 with them.
  • Rohit has 200 more than Vikas.
  • Pankaj has 4 times the money Rohit has

To FIND:

  • Money with each of them

Solution

Let the money with Vikas be Rs. X

By given,

Money with Rohit = Rs (Money with Vikas + 200)

Money with Rohit = Rs (x + 200)

Also by given,

Money with Pankaj = 4 × ( Money with Rohit)

Money with Pankaj = 4 × (x + 200)

Money with Pankaj = 4x + 800 rupees.

Now by given,

Money with Pankaj + Money with Rohit + Money with Vikas = Rs.2800

Substitute the data,

4x + 800 + x + 200 + x = 2800

Solving it,

6x + 1000 = 2800

6x = 2800 - 1000

6x = 1800

x = 1800/6

x = 300

Therefore amount with Vikas = Rs.x = Rs.300

Amount with Rohit = x + 200 = 300 + 200 = Rs.500

Amount with Pankaj = 4 (x + 200) = 4 × 500 =  Rs.2000

Verification:

Money with Pankaj + Money with Rohit + Money with Vikas = Rs.2800

300 + 500 + 2000 = 2800

800 + 2000 = 2800

2800 = 2800

Hence VERIFIED.



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