P. Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R? - IQ786

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P. Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?

P. Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?

3000

3600

2400

4000

Explanation

Let the amount with R be Rs.r
r = 2/3 (total amount with P and Q)
r = 2/3(6000 – r) => 3r = 12000 – 2r
=> 5r = 12000 => r = 2400.