Divide rs 3,200 between P, Qand R, so that Q
may have rs 500 more than p and R rs 300 more
than Q
Answers
Given:
Divide rs 3,200 between P, Q and R, so that Q may have rs 500 more than p and R rs 300 more than Q
To find:
Share of P, Q and R
Solution:
Q may have rs 500 more than P, so the equation will be,
Q = 500 + P . . . (1)
R may have Rs. 300 more than Q, so the equation will be,
R = Q + 300
From (1)
⇒ R = 500 + P + 300
⇒ R = P + 800 . . . (2)
Divide rs 3,200 between P, Q and R, so the equation will be,
P + Q + R = 3200
from (1) and (2), we get
⇒ P + 500 + P + P + 800 = 3200
⇒ 3P + 1300 = 3200
⇒ 3P = 1900
⇒ P = Rs. 633.34
∴ Q = 500 + P = 500 + 633.33 = Rs. 1133.34
∴ R = 800 + P = 800 + 633.33 = Rs. 1433.34
Thus,
P's share = Rs. 633.34
Q's share = Rs. 1133.34
R's share = Rs. 1433.34
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