Let the total amount of money they have be TAnd the respective shares of Paul, Quallis and Robert be P, Q and R.Now, P + Q + R = T ----- (1) Given that the amount is to be divided in the ratio of 2 : 3 : 7, the total share of P and Q is Rs 1500 less than R, i.e.,P + Q = R - 1500 ----- (2)From (1) and (2);P + Q = T - R ----- (3)Comparing equation (2) and (3)R - 1500 = T - R;2R = 1500 + T; orR = (1500 + T) / 2 ----- (4)But R's share is[7 / (2 + 3 + 7)] * T = (7/12) T ----- (5)From (4) and (5),(1500 + T) / 2 = (7/12) T18000 = 14 T - 12 TT = 9000.So total amount is Rs 9000.P's share = [2 / (2 + 3 + 7)] * 900 = Rs1500.
Let the total amount of money they have be T
ReplyDeleteAnd the respective shares of Paul, Quallis and Robert be P, Q and R.
Now, P + Q + R = T ----- (1)
Given that the amount is to be divided in the ratio of 2 : 3 : 7, the total share of P and Q is Rs 1500 less than R, i.e.,
P + Q = R - 1500 ----- (2)
From (1) and (2);
P + Q = T - R ----- (3)
Comparing equation (2) and (3)
R - 1500 = T - R;
2R = 1500 + T; or
R = (1500 + T) / 2 ----- (4)
But R's share is
[7 / (2 + 3 + 7)] * T = (7/12) T ----- (5)
From (4) and (5),
(1500 + T) / 2 = (7/12) T
18000 = 14 T - 12 T
T = 9000.
So total amount is Rs 9000.
P's share = [2 / (2 + 3 + 7)] * 900 = Rs1500.