Partnership - Aptitude Questions and Answers Part 2

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6. Three friends M, N and O stay in a business for 2 months, 5 months and 8 months respectively. They share the profit in the ration 5 : 8 : 9 respectively. Find the ratio of their investment.

a. 7 : 13 : 17
b. 10 : 40 : 72
c. 100 : 64 : 45
d. 110 : 74 : 64

Answer: c. 100 : 64 : 45

Explanation:

Tip:
We know that Ratio of Investment x Time = Ratio of Profit
∴ To find ratio of investment just divide respective profits ratios by respective time ratios
So if profit ratio is P₁:P₂:P₃ and investment ratio is T₁:T₂:T₃ then,
Time ratio is found by = (P₁/T₁) : (P₂/T₂) : (P₃/T₃)

Since, they spend 2 months, 5 months and 8 months in the business respectively, their time period in business is in the ratio of 2 : 5 : 8.

Ratio of investment for M, N and O is found by =	5	:	8	:	9
	2		5		8

Making denominators common by multiplying by 40

∴ Ratio of Time periods for M, N and O =	40 x 5	:	40 x 8	:	40 x 9	= 100 : 64 : 45
	2		5		8

7. Two friends Ram and Shyam invest in a grocery shop. Shyam invests Rs 25000/- while Ram invests Rs 35000. Third friend Salim, joins them with the condition that all of them must get equal share of profit. To do so, he gives Rs. 400000 to Ram and Shyam to share between themselves. Find the ratio in which Ram and Shyam should share the money given by Salim?

a. 5:7
b. 7:5
c. 7:13
d. 13:7

Answer: c. 7:13

Explanation:

Total value of investment of Ram and Shyam after 12 months is =
Rs. 35000 x 12 months : Rs. 25000 x 12 months = 420000 : 300000

Profits need to be same so investment share must be the same too.

Now 400000 given by Salim needs to be shared by Ram and Shyam so that their investment value becomes same.

∴ If Rs. X must be given to Ram, then 420000 + X = 300000 + (400000-X)

∴ X = Rs. 140000 = Ram should get this much
Required ratio = Share of Ram: Share of Shyam = 140000 : (400000-140000) = 7:13

8. Armaan and Gubbi started a cafe with Rs. 40000 and Rs. 80000, respectively. Gubbi got married to someone in other town and left after 7 months. But Jayram immediately replaced her with an investment of Rs. 144000. At the end of the year, the business performed well and registered a profit of Rs. 50600.What is Gubbi’s share in this profit?

a. Rs. 13800
b. Rs. 16100
c. Rs. 16500
d. Rs. 16866.67

Answer: b. Rs. 16100

Explanation:

Tip:
Ratio of Investment x Time = Ratio of Profit

∴ (A's investment x Time) : (B's investment x Time) = Profit of A : Profit of B

Total value of investment of Arman, Gubbi and Jayram after 12 months is =
Rs. 40000 x 12 months : Rs. 80000 x 7 months : Rs. 144000 x (12-7)months = 480000 : 560000 : 720000
∴ Profit ratio = 240000 : 280000 : 360000 = 6 : 7 : 9

∴ Share of Gubbi =	7	x 50600 = Rs. 16100
	6+7+9

9. B invested three-fourths of what C invested. A invested 20% more than B. What is C's investment, if total investment is Rs. 3816/-

a. Rs. 1300
b. Rs. 1440
c. Rs. 1650
d. Rs. 1800

Answer: b. Rs. 1440

Explanation:

Let investment of C be Rs. 100
So investment of B = Three-fourths of C = ¾ of Rs. 100 = Rs. 75
Investment of A = 20% more than B = 20% more than Rs. 75 = Rs. 90
Ratio of investment of A, B, and C = 90 : 75 : 100 = 18:15:20

Investment of C =	20	x 3816 = Rs. 1440
	18+15+20

10. Rohan and Mohan invest in the ratio 5 : 2. 10% of the profit is donated to a hospital before dividing it between the two. Rohan gets Rs. 6840. What is Mohan's share?

a. Rs. 2736
b. Rs. 3800
c. Rs. 4788
d. Rs. 6840

Answer: a. Rs. 2736

Explanation:

Tip:
Ratio of investment = Ratio of Profit

Ratio of Profit of Rohan to Mohan = 5:2

Rohan's Share = Rs. 6840 =	5	x (90% Total Profit) ----------> 10% given to hospital
	5+2

∴ 6840 =	5	x	90	x Total Profit
	7		100

∴ Total Profit = Rs. 10,640/-
Vijay's Share = 10,640 - 6840 - 1064 = Rs. 2736/-

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