# Rs. 12,936 is divided among P,Q and R such that P gets of (Q+R) and Q

A. 2500

B. 2600

C. 2650

D. 2800

### Right Answer is: D

#### SOLUTION

Given P gets of (Q+R)

………….(1)

Q gets of (P+R)

………….(2)

From (1) , P+Q+R = 3+4 = 7 units

From (2) , P+Q+R = 5+6 = 11 units

But P+Q+R should be same in both cases. So multiply equation (1) by 11 and equation (2) by 7.

………….(3)

………….(4)

P+Q+R = 77

Hence P:Q:R = 33:35:9……………..(5)

We know that we can multiply a whole ratio by a constant term.

P:Q:R = 33×3 :35×3 :9×3 = 99:105 :27

P+Q+R = units

Now P & Q gave Rs. A and Rs. B respectively to R such that share of each becomes equal

Now P & Q gave 22 unit and 28 unit respectively to R then everyone is left with 77 units

Hence A+B = 50 units

According to question

units = Rs. 12,936

1 unit =

50 unit =

Rs. 12,936 is divided among P,Q and R such that P gets of (Q+R) and Q