P and V entered into a partnership and invested money in the ratio of 2 : 3. R enters the partnership after 4 months and is to be provided some money as monthly salary from the profit at the end of the year apart from his share. The ratio of investments by V and R is 6 : 5 and V’s profit share is Rs. 90000. If the total profit at the end of the year is Rs. 240000, find the monthly salary of R.
1). Rs. 5520
2). Rs. 5050
3). Rs. 5500
4). Rs. 5550
Let monthly salary of R be Rs. x.
Total profit = Rs. 240000
R has invested his money for 8 months.
∴ Profit to be shared = Rs. (240000 – 8x)
Ratio of investments by P and V = 2 : 3 = 4 : 6
Ratio of investments by V and R = 6 : 5
Ratio of investments by P, V and R = 4 : 6 : 5
Profit will be shared in the ratio of (4 × 12) : (6 × 12) : (5 × 8) = 6 : 9 : 5
V’s share = Rs. 90000 = 9/20 × (240000 – 8x)
⇒ 240000 – 8x = 200000
⇒ 8x = 40000
⇒ x = Rs. 5000