Question
A invested Rs. (P + 1000). After 6 months, B joined with
Rs. 3P. If the ratio of B’s profit share to A’s is 9:10, then find (P − 400).Solution
ATQ,
Ratio of profit share of A and B respectively:
= [(P + 1000) × 12] : [3P × 6]
= (12P + 12000) : 18P
= (2P + 2000) : 3P (dividing by 6)
ATQ;
(2P + 2000) : 3P = 10 : 9
Or, (2P + 2000)/3P = 10/9
Cross multiply: 9(2P + 2000) = 30P
18P + 18000 = 30P
12P = 18000
P = 1500
Required value = 1500 − 400 = 1100
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