Question

Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
A) Rs. 1100
B) Rs. 500
C) Rs. 1200
D) Rs. 700

Answer 1

Answer:   B) Rs. 500 

Explanation:

Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

Answer 2

hola mate..

answer:-

Let the amounts to be received by P, Q and R be p, q and r.

p + q + r = 1200

p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200

=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200

=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.