Question

48. Rs. 4,800 is divided among P, Q and R in such a way that the share of P is 5/11 of the
combined share of Q and R. The share of Q is 3/13 of the combined share of R and P. What
amount does R get?
(1) More than Rs. 2,400
(2) Less than Rs. 2,500
(3) Less than Rs. 2,200
(4) More than Rs. 2,600
​

Answer 1

Answer:

Option 2 is correct.

P got Rs.1500, Q got Rs.900 and R got Rs.2400.

Step-by-step explanation:

Let the share of P be Rs.x, share of Q be Rs.y and share of R be Rs.z

Then,

x + y + z = 4800 ----- 1

Also,

x = (5/11)(y + z)

y = (3/13)(x + z)

From eq.1 we get,

y + z = 4800 - x

So,

x = (5/11)(4800 - x)

11x = 5(4800 - x)

11x = 24000 - 5x

11x + 5x = 24000

16x = 24000

x = 24000/16

x = Rs.1500

Similarly,

From eq.1 we get,

x + z = 4800 - y

Then,

y = (3/13)(4800 - y)

13y = 3(4800 - y)

13y = 14400 - 3y

13y + 3y = 14400

16y = 14400

y = 14400/16

y = 900

Then,

z = 4800 - x - y

z = 4800 - 1500 - 900

z = Rs.2400

Hence,

P got Rs.1500, Q got Rs.900 and R got Rs.2400.

Thus,

Option 2 is correct.

R got less than Rs.2500

Hope it helped and believing you understood it........All the best