# Partnership ( 16 to 20 )

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Partnership ( 16 to 20 ):

# APTITUDE QUESTIONS (PARTNERSHIP):

16. X, Y, Z started a shop by investing Rs.36000, Rs.45000 and Rs.54000 respectively. The profits were distributed among them at the end of the year. If Z’s share of profit be Rs.24000, then the total profit was:

A)    Rs.60000

B)    Rs.95600

C)    Rs.108000

D)    Rs.116000

E)    None of these

Explanation:
X: Y: Z = 36000: 45000: 54000 = 4:5:6. So, Z’s share: Total profit = 6: 15
Let the total profit be Rs. x. Then, 6/15= 24000/x  or  x= 24000*15/6=60000

17. X started a business with Rs.20000 and is joined afterwards by Y with Rs.30000. After how many months did Y join if the profits at the end of the year are divided equally?

A)    7

B)    6

C)    4

D)    5

E)    None of these

Explanation:
Suppose Y joined after months.
Then, 20000 * 12 = 30000 * (12 – x) => 30x = 120  x = 4
Hence, Y joined after 4 months.

18. Simran and Nanda start a business jointly. Simran invests Rs.15000 for 8 months and Nanda remains in the business for 4 months. Out of total profit, Nanda claims 2/7 of the profit. How much money was contributed by Nanda?

A)    Rs.10500

B)    Rs.11900

C)    Rs.12000

D)    Rs.13600

E)    None of these

Explanation:
Let the total profit be Rs. x. Then, Nanda = 2x/7 and Simran = x-(2x/7) = 5x/7
So, Simran: Nanda = 5x/7: 2x/7= 5:2
Let’s Nanda capital be Rs. y. Then, (15000*8)/(y*4)= 5/2 ,<=> y = (15000* 8 * 2) /5*4 = 12000

19. Two friends C and D started a business investing in the ratio of 5: 6. E joined them after six months investing an amount equal to that of D’s. At the end of the year, 10% profit was earned which was equal to Rs.84000. What was the amount invested by E?

A)    Rs.360000

B)    Rs.210000

C)    Rs.105000

D)    Rs.350000

E)    None of these

Explanation:
Let the total profit be Rs. z
Then, 10% of x = 84000 <=> x = 84000*100/10=840000
Let the capitals of C, D and E be Rs. 5x, Rs.6x and Rs.6x respectively. Then, (5x * 12) + (6x * 12) + (6x * 6) = 840000 * 12
<=> 168x = 840000 * 12 <=> x = 840000*12/168=60000
∴ E’s investment = 6x = Rs. (6 * 60000) = Rs.360000

20. R and S invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and R’s share is Rs.855, the total profit is:

A)    Rs.1325

B)    Rs.1500

C)    Rs.1437.50

D)    Rs.1676

E)    None of these

Explanation:
Let the total profit be Rs.100
After paying to charity, R’s share = Rs. 95*(3/5)=Rs.57
If R’s share is Rs.57, total profit = Rs.100
If R’s share is Rs.855, total profit = (100/57)*855=1500