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**Quiz Description** :

**Name: **Partnership Objective Question answer Test – 1

**Subject: **Aptitude

**Topic: **Partnership

**Questions: **10 objective type

**Language:** English

**Time Allowed: **20 minutes

**Important for: **IBPS Clerk, IBPS PO, IBPS RRB, SBI Clerk, SBI PO, RBI Assistant, SSC CGL, CHSL, Railway RRB, Police, Engineering Aptitude Test, Research Aptitude test etc.

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- Question 1 of 10
##### 1. Question

1 pointsThree partners Aiden, Oliver and Jackson invest Rs. 1600. Rs. 1800 and Rs. 2300 respectively in business. What is the share of Oliver in profit if total profit is Rs. 1938?

CorrectExplanation:

The profit should be divided in the ratio of the capitals, i.e. in the ratio 16 : 18 : 23.

Now, 16 + 18 + 23 = 57

Aiden’sshare = 16/57 of Rs. 1938 = Rs 544

Oliver’s share = 18/57 of Rs. 1938 = Rs 612

Jackson’s share = 23/57 of Rs. 1938 = Rs 782IncorrectExplanation:

The profit should be divided in the ratio of the capitals, i.e. in the ratio 16 : 18 : 23.

Now, 16 + 18 + 23 = 57

Aiden’sshare = 16/57 of Rs. 1938 = Rs 544

Oliver’s share = 18/57 of Rs. 1938 = Rs 612

Jackson’s share = 23/57 of Rs. 1938 = Rs 782 - Question 2 of 10
##### 2. Question

1 pointsMadison, Olivia and Emma enter into partnership. Madison advance Rs. 1200 for 4 months, Olivia Rs. 1400 for 8 months, and Emma Rs. 1000 for 10 months. They gain Rs. 585 altogether. Find the share of Emma.

CorrectExplanation:

Rs. 1200 in 4 months earn as much profit as Rs. 1400 × 8 or Rs. 11200 in 1 month.

Rs. 1000 in 10 months earns as much profit as Rs. 1000 × 10 or Rs 10000 in 1 month.

Therefore the profit should be divided in the ratios of 4800, 11200 and 10000 i.e. in the ratios of 12, 28 and 25.

Now, 12 + 28 + 25 = 65

Madison’s share = 12/65× 585 = Rs. 108

Olivia’s share = 28/65× 585 = Rs. 252

Emma’s share = 25/65× 585 = Rs. 225IncorrectExplanation:

Rs. 1200 in 4 months earn as much profit as Rs. 1400 × 8 or Rs. 11200 in 1 month.

Rs. 1000 in 10 months earns as much profit as Rs. 1000 × 10 or Rs 10000 in 1 month.

Therefore the profit should be divided in the ratios of 4800, 11200 and 10000 i.e. in the ratios of 12, 28 and 25.

Now, 12 + 28 + 25 = 65

Madison’s share = 12/65× 585 = Rs. 108

Olivia’s share = 28/65× 585 = Rs. 252

Emma’s share = 25/65× 585 = Rs. 225 - Question 3 of 10
##### 3. Question

1 pointsA starts a business with Rs. 2000. B joins him after 3 months with Rs. 4000. C puts a sum of Rs. 10000 in the business for 2 months only. At the end of the year the business gave a profit of Rs. 5600. What is the profit share of A ?

CorrectRatio of their profit = A’s : B’s : C’s = 2 × 12 : 4 × 9 : 10 × 2 = 6 : 9 : 5

Now, 6 + 9 + 5 = 20

Then A’s share = 5600/20× 6 = Rs. 1680

Then B’s share = 5600/20×9 = Rs. 2520

Then C’s share = 5600/20×5 = Rs. 1400IncorrectRatio of their profit = A’s : B’s : C’s = 2 × 12 : 4 × 9 : 10 × 2 = 6 : 9 : 5

Now, 6 + 9 + 5 = 20

Then A’s share = 5600/20× 6 = Rs. 1680

Then B’s share = 5600/20×9 = Rs. 2520

Then C’s share = 5600/20×5 = Rs. 1400 - Question 4 of 10
##### 4. Question

1 pointsA and B enter into a partnership for a year. A contributes Rs. 1500 and B Rs. 2000. After 4 months they admit C, who contributes Rs. 2250. If B withdraws his contribution after 9 month, how would they share a profit of Rs. 900 at the end of the year?

CorrectExplanation:

A’s share : B’s share : C’s share = 1500

Then A’s share = 1500× 12 : 2000 × 9 : 2250 × 8

= 15 × 12 : 20 ×9 : 22.5 × 8

=1 : 1 : 1

Therefore, each of them gets Rs. 900/3 = Rs. 300IncorrectExplanation:

A’s share : B’s share : C’s share = 1500

Then A’s share = 1500× 12 : 2000 × 9 : 2250 × 8

= 15 × 12 : 20 ×9 : 22.5 × 8

=1 : 1 : 1

Therefore, each of them gets Rs. 900/3 = Rs. 300 - Question 5 of 10
##### 5. Question

1 pointsA, B and C enter into partnership. A advances one-fourth of the capital for one-fourth of the time. B contributes one-fifth of the capital for half of the time. C contributes the remaining capital for the whole time. What is the share of B, if profit is Rs. 1140?

Correct**Explanation:**A’s share : B’s share : C’s share = 1/4×1/4 : 1/5×1/2 : {1-(1/4+1/5) }×1= 1/16 : 1/10 : 11/20

Multiplying each function by LCM of 16, 10 and 20, i.e. 80.

We have 5 : 8 : 44.

∴ A’s share = 1140/57× 5 = Rs. 100

∴ B’s share = 1140/57× 8 = Rs. 160

∴ C’s share = 1140/57× 44 = Rs. 880Incorrect**Explanation:**A’s share : B’s share : C’s share = 1/4×1/4 : 1/5×1/2 : {1-(1/4+1/5) }×1= 1/16 : 1/10 : 11/20

Multiplying each function by LCM of 16, 10 and 20, i.e. 80.

We have 5 : 8 : 44.

∴ A’s share = 1140/57× 5 = Rs. 100

∴ B’s share = 1140/57× 8 = Rs. 160

∴ C’s share = 1140/57× 44 = Rs. 880 - Question 6 of 10
##### 6. Question

1 pointsA and B rent a pasture for 10 months. A puts in 100 cows for 8 months, How many can B put in for the remaining 2 months, if he pays half as much again as A?

CorrectExplanation:

Suppose B puts in N cows. The ratio of A’s and B’s rents = 1 : 1 + 1/2

= 1 : 3/2 = 2 : 3

Then, (100 ×8)/(N ×2) = 2/3

or, N = (100 × 8 × 3 )/(2 × 2) = 60 cows.IncorrectExplanation:

Suppose B puts in N cows. The ratio of A’s and B’s rents = 1 : 1 + 1/2

= 1 : 3/2 = 2 : 3

Then, (100 ×8)/(N ×2) = 2/3

or, N = (100 × 8 × 3 )/(2 × 2) = 60 cows. - Question 7 of 10
##### 7. Question

1 pointsA and B enter into a partnership with their capital in the ratio 7: 9. At the end of 8 months, A withdraws his capital. If they receive the profits in the ratio 8 : 9, find how long B’s capital was used?

Correct**Explanation:**Suppose B’s capital was used for N months. Following the same rule we have = (7 × 8)/(9 × N) = 8/9

or, N = (7 × 8 × 9)/(8 × 9) = 7

Therefore, B’s capital was used for 7 months.Incorrect**Explanation:**Suppose B’s capital was used for N months. Following the same rule we have = (7 × 8)/(9 × N) = 8/9

or, N = (7 × 8 × 9)/(8 × 9) = 7

Therefore, B’s capital was used for 7 months. - Question 8 of 10
##### 8. Question

1 pointsA, B and C invested capitals in the ratio 2 : 3 : 5; the timing of their investments being in the ratio 4 : 5 : 6. In what ratio would their profit be distributed?

CorrectWe should know that if the three investments be in the ratio a : b : c and the duration for their investments be in the ratio x : y : z, then the profit would be distributed in the ratio ax : by : cz.

Thus, following the same rule, the required ratio = 2 ×4 : 3 × 5 : 5 × 6 = 8 : 15 : 30IncorrectWe should know that if the three investments be in the ratio a : b : c and the duration for their investments be in the ratio x : y : z, then the profit would be distributed in the ratio ax : by : cz.

Thus, following the same rule, the required ratio = 2 ×4 : 3 × 5 : 5 × 6 = 8 : 15 : 30 - Question 9 of 10
##### 9. Question

1 pointsA, B and C invested capital in the ratio 5 : 6 : 8. At the end of the business term, they received the profits in the ratio 5 : 3 : 12. Find the ratio of time for which they contributed their capitals?

CorrectIf investment is in the ratio a : b : c and profit in the ratio p : q : r. Then the ratio of time = p/a : q/b : r/c

Therefore, the required ratio = 5/5 : 3/6 : 12/8 = 1 : 1/2 : 3/2 = 2 : 1 : 3IncorrectIf investment is in the ratio a : b : c and profit in the ratio p : q : r. Then the ratio of time = p/a : q/b : r/c

Therefore, the required ratio = 5/5 : 3/6 : 12/8 = 1 : 1/2 : 3/2 = 2 : 1 : 3 - Question 10 of 10
##### 10. Question

1 pointsA and B enter into a partnership with capitals in the ratio 5 : 6. At the end of 8 months, A withdraws his capital. If they receive profits in the ratio of 5 : 9. How long B’s capital was used?

CorrectIf investment is in the ratio a : b and profit in the ratio p : q. Then the ratio of time = p/a : q/b

Therefore, the required ratio = 5/5 : 9/6 = 1 : 3/2 = 2: 3

Now, we are given that A invested for 8 months.

∴ B invested for 8/2× 3 = 12 monthsIncorrectIf investment is in the ratio a : b and profit in the ratio p : q. Then the ratio of time = p/a : q/b

Therefore, the required ratio = 5/5 : 9/6 = 1 : 3/2 = 2: 3

Now, we are given that A invested for 8 months.

∴ B invested for 8/2× 3 = 12 months