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Partnership Exercise 1

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Partnership 1

  • This online quiz will test your knowledge of Partnership in Quantitative Aptitude.
  • This Online Test is useful for academic and competitive exams.
  • Multiple answer choices are given for each question in this test. You have to choose the best option.
  • After completing the test, you can see your result.
  • There is no negative marking for wrong answers.
  • There is no specified time to complete this test.

Three students A, B and C hired a computer for a month. A runs 27 floppy discs for 19 days, B runs 21 for 17 days and C runs 24 for 23 days. If at the end of the month, the rent amounts to ₹23, 700, how much rent to be paid by C?

Ratio of rent amount

= 27 × 19 : 21 × 17 : 24 × 23

= 513 : 357 : 552 = 171 : 119 : 184

∴ Rent paid by C

partnership-q-49240.png

Atul and Babita enter into a business partnership in which Atul contributes ₹2000 for 9 months and Babita contributes ₹5000 for 7 months. A profit of ₹1100 will be divided between Atul and Babita in the ratio of:

Required ratio of profit distribution

= 2000 × 9 : 5000 × 7 = 18:35

In a business, A, B and C invested ₹380, ₹400 and ₹420 respectively. Divide a net profit of ₹180 among the partners. Find the share of profit of A, B and C.

Ratio of their investment = 380 : 400 : 420 = 19 : 20 : 21

∴ A’s profit partnership-q-49228.png;

B’s profit partnership-q-49222.png

and C’s profit partnership-q-49216.png

Radha started a business, investing ₹75,000. After 3 months, Sunidhi joined her with an amount of ₹1,25,000 and after another six months Neha joined them with an amount of ₹1,50,000. Profit earned at the end of three years from when Radha started the business should be distributed in what ratio among Radha, Sunidhi and Neha respectively?

Ratio of their profits (Radha’s : Sunidhi’s : Neha’s)

= 75 × 36 : 125 × 33 : 150 × 27

= 3 × 36 : 5 × 33 : 6 × 27

= 3 × 12 : 5 × 11 : 6 × 9

= 36 : 55 : 54

Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is ₹40,000, out of a total annual profit of ₹33,000, C’s share will be

Sum invested by A, B and C is

5 × 12 : 7 × 12 : 6 × 6 + 3 × 6

⇒ 60 : 84 : 54

⇒ 10 : 14 : 9

∴ Share of C

= partnership-q-49210.png

Mr Sharad started a business investing ₹50000. Four months later Mr Praveen joined the business by investing ₹90000. If the profit in the business at the end of the year was ₹22000 how much amount would Mr Praveen have received as the profit?

Ratio of their investment

= 50000 × 12 : 90000 × 8

= 5 : 6

∴ Amount received by Praveen

= partnership-q-49204.png

= ₹12000

Abhijit started a business investing ₹70000. Anuja joined him after six months with an amount of ₹105000 and Sunil joined them with ₹1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three years after Abhijit started the business?

Ratio of their investments

= 70 × 36 : 105 × 30 : 140 × 24

= 12 : 15 : 16

Hariprasad and Madhusudan started a business, investing sums in the ratio of 2 : 3. If Hariprasad had invested an additional amount of ₹10,000 the ratio of Hariprasad’s investment to Madhusudan’s investment would have been 3 : 2. What was the amount invested by Hariprasad?

Let the initial investments of Hariprasad and Madhusudan be 2x and 3x, respectively.

From the question,

partnership-q-49198.png

⇒ 4x + 20000 = 9x

∴ x = 4000

∴ Amount invested by Hariprasad

= 2x = ₹8000

Mr Shivkumar started a business, investing ₹25000 in 1996. In 1997 he invested an additional amount of ₹10000 and Mr Rakesh joined him with an amount of ₹35000. In 1998, Mr Shivkumar invested another additional amount of ₹10000 and Mr Suresh joined them with an amount of ₹35000. What will be Rakesh’s share in the profit of ₹150000 earned at the end of three years from the start of the business in 1996?

Ratio of their investments

= 25,000 × 1 + 35000 × 1 + 45000 × 1 : 35000 × 2 : 35000 × 1

= 3 : 2 : 1.

∴ Rakesh’s share

= partnership-q-49192.png

Abhishek started a business investing ₹50,000. After one year he invested another ₹30,000 and Sudin also joined him with a capital of ₹70,000. If the profit earned in three years from the starting of business was ₹87,500, then find the share of Sudin in the profit.

Ratio of Abhishek and Sudin for one month

= (50,000 × 36) + (30,000 × 24) : (70,000 × 24)

= (18,00,000 + 7,20,000) : 16,80,000 = 3 : 2

Hence share of Sudin in the profit earned from the business.

=partnership-q-49185.png× 2 = ₹35,000.

Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 20% profit was earned which was equal to ₹98,000. What was the amount invested by R?

Ratio for amount invested by P, Q & R
= 5x × 12 : 6x × 12 : 6x × 6
= 60x : 72x : 36x = 5x : 6x : 3x
Profit = 98000
= 20% of T
where, T = Total amount
T = ₹490000
Effective investment by R
= 490000 × 3x /(5x + 6x + 3x)
= ₹105000

Rinku and Pooja started a business initially with ₹5,100 and ₹6,600 respectively. If the total profit is ₹2,730 what is Rinku’s share in profit?

Ratio of the capital of Rinku and Pooja

partnership-q-49173.png

∴ Rinku’s share

partnership-q-49167.png

= ₹1190

A and B started a business by investing ₹35,000 and ₹20,000 respectively. B left the business after 5 months and C joined the business with a sum of ₹15,000. The profit earned at the end of the year is ₹84,125. What is b’s share of profit?

Ratio of equivalent capitals of A, B and C for 1 month

= 35000 × 12 : 20000 × 5 : 15000 × 7

= 35 × 12 : 20 × 5 : 15 × 7

= 84 : 20 : 21

Sum of the ratios

= 84 + 20 + 21 = 125

∴ B’s share

= ₹partnership-q-49160.png

= ₹13460

Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of ₹45, 000 at the end of the year. What is Manav’s share in the profit?

Ratio of profit

= 1 × 12 : 2 × 6 : 3 × 4

= 1 : 1 : 1

∴ Manav’s share

= partnership-q-49154.png

= ₹15000

Sarita started a boutique investing an amount of ₹50,000. Six months later Neeta joined her with an amount of ₹80,000. At the end of one year they earned a profit of ₹18, 000. What is Sarita’s share in the profit?

Ratio of capital
= 50000 × 12 : 80000 × 6
= 5 : 4
∴ Sarita’s share
= partnership-q-49148.png
= ₹10000

Nirmal and Kapil started a business investing ₹9,000 and ₹12,000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was ₹4,600, what was Kapil’s share in it?

Ratio of capital investment

= 9,000 × 12 : (12,000 × 6) + (6,000 × 6) = 1 : 1

∴ Kapil’s share

partnership-q-49858.png

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