Partnership Quiz 1

Solution: Ed Shreen invested Rs 55000 for a year and Rs 65000 for the next year.
Charlie Puth invested Rs 70000 for 8 months and Rs 60000 for the next year.

Capital Ratio = 55000 \times 12 + 65000 \times 12 : 70000 \times 8 + 60000 \times 12

= 660000 + 780000 : 560000 + 720000

= 1440000 : 1280000 = 9 : 8

Let total profit = Rs x

Ed Shreen's profit = x \times 50% \times 50% + x \times 50% \times \frac{9}{17}
32375=\frac{x}{4}+{9x}{34}
32375=\frac{35x}{68}
x=62,900

Solution: Ratio of shares of profit is : (25, 000 \times 12) : (60, 000 \times 8) = 5: 8
Let the total profit be P, as Aaron Sorkin receives 10% of this as commission, the remaining 90% of P is shared in the ratio of 5: 8.
Hence Aaron Sorkin’s receipts will be \frac{5}{13}^{th} of 90% of total profit plus his commission.
⇒ \frac{5.8P}{13} = 58,000
⇒ P= 1, 30, 000
Therefore, Woody Allen share will be \frac{8}{13} \times 0.9 \times 1,30, 000= 72, 000

Solution: Here, even for each individual, the capital was not the same for the entire period his money was in the business.
So, the term of the ratio for a person will be the sum of products of investment multiplied by time period for different parts of the year.
Peter Parker has 20, 000 for 6 months and then since he withdrew 5,000, he had only 15, 000 for the rest of the 6 months. His term of the ratio will be
(20, 000 \times 6) + ( 15, 000 \times 6) = 2,10,000
John Abraham joined with 30,000 which remained unchanged for 4 months and then he brought in 20, 000 more. So he had 50, 000 for 4 months only as he joined 4 months after the business began. His term of the ratio will be
(30, 000 \times 4) + (50, 000 \times 4) = 3, 20, 000
Hence, the ratio of shares of the profit will be 2,10, 000 : 3, 20, 000 = 21 : 32.

Solution: The ratio of the investments of Virat Kohli , Rohit Sharma, and Suresh Raina is:
(30,000\times12):(40,000\times2+\frac{3}{4}\times40,000\times6): (50,000\times 3+ \frac{4}{5}\times50,000\times4)
⇒ (3,60,000) : (2,60,000) : (3,10,000)
⇒ 36:26:31
Let Virat Kohli’s share is 36x, Suresh Raina’s share is 31x and Rohit Sharma’s share is 26x, then the difference is 31x -26x = 5x.
Hence the amount, Suresh Raina get more than Rohit Sharma is: \frac{5x}{93x} \times 27, 900 = 1500

Solution: Profits of Alka Yagnik, Mohammad Rafi & Udit Narayan are 3000, 2500, 4000 Rupees respectively.
Ratio of their profits is,
Alka Yagnik:Mohammad Rafi:Udit Narayan = 3000:2500:4000 => P:Q:R = 6:5:8
Then investment of Alka Yagnik, Mohammad Rafi & Udit Narayan be 6X, 5X & 8X.
6X+5X+8X = 57000 => X=3000
Average amount invested by Alka Yagnik & Udit Narayan =\frac{3000}{2}\times 14 = Rs.21000

Solution:
Let the investment of Kumar Sanu, Manna Dey & Arijit Singh initially be 8X, 7X & X respectively for 7 years.
After 7 years ratio of their investment is,
8 : 7 : 2 = 8X+16X : 7X \times 2: X+3000
=> X = Rs.1000
Total investment of Kumar Sanu,Manna Dey & Arijit Singh after 2 years = (8+7+2)\times 1000 = Rs.17000

Solution: Let the amount received by Hardik Pandya is X,
The amount received by MS Dhoni is X/2
Also, the amount received by Virat Kohli is X/4
Profit ratio of Virat Kohli, MS Dhoni & Hardik Pandya =X/4:X/2: X
= 1 : 2: 4
Total share of Virat kohli & Hardik Pandya = 3500 \times \frac{5}{7} = Rs.2500

Solution: Ratio of profit of Abhishek Bachchan & Bobby deol is,
Abhishek Bachchan : Bobby deol = 27: 36 => 3 : 4
Let the total profit earned be X
Since, 25% of the profit should be divided in the ratio 2:3 for Abhishek Bachchan & Bobby deol, Then the remaining share is = 75% of X.
Abhishek Bachchan’s share =\frac{75}{100}\times X\times \frac{3}{7} +\frac{25}{100}\times X\times \frac{2}{5}
Bobby deol’s share = \frac{75}{100}\times X\times \frac{4}{7} +\frac{25}{100}\times X\times \frac{3}{5}
From question,
[\frac{75}{100}\times X\times\frac{4}{7}+\frac{25}{100}\times X\times \frac{3}{5}]-[\frac{75}{100}\times X\times \frac{3}{7} +\frac{25}{100}\times X \times \frac{2}{5}]= 1430
X\frac{44}{280} = 1430
=> X = Rs.9100
Bobby deol’s total profit = \frac{75}{100}\times 9100 \times \frac{4}{7} +\frac{25}{100} \times 9100 \times \frac{3}{5} = Rs.526

Solution: Ravichandran Ashwin : Ravindra Jadeja= 16983 : 18981
=> A : B = 17 : 19
Ravindra Jadeja is an active partner who will get Rs.225 every month. Then for 18 months, Ravindra Jadeja will receive Rs.4050.
Remaining amount of Ravindra Jadeja = 12150 – 4050 = Rs.8100
Then profit earned by Ravichandran Ashwin in 18 months = \frac{8100}{19} \times 17 = Rs.7247
Total profit earned by both in One and Half years = 12150+7247 = Rs.19397

Solution: Suppose Ranbir Kapoor's capital = x then,
B's capital = 4x (Since Sunil Shetty's Capital is four times Ranbir Kapoor's capital)
Ajay Devgan's capital = 6x ( Since twice Ajay Devgan's capital is equal to thrice Sunil Shetty's capital)
Ajay Devgan : Sunil Shetty : Ranbir Kapoor =6x : 4x : x
= 6 : 4 : 1
Sunil Shetty's share = 16500 \times \frac{4}{11}
=Rs. 6000