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Partnership Exercise 2

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Partnership 2

  • 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 men A, B and C together subscribe ₹4700 for a business. A puts in ₹700 more than B and B puts in ₹500 more than C. How much B will receive out of a total profit of ₹4230?

If C puts in ₹x, then B puts in ₹x + 500 and A puts in (x +500)

+ 700 i.e. x + 1200

⇒ (x + 1200) + (x + 500) + x = 4700

⇒ 3x + 1700 = 4700

⇒ x = 1000

Ratio of their investment 2200 : 1500 : 1000 = 22 : 15 : 10

Thus, share of

partnership-q-49852.png

A and B are partners in a business. A contributes ¼ of the capital for 15 months and B received ⅔ of the profit. For how long B’s money was used?

Let the total profit be ₹z. Then,

B’s share = ₹partnership-q-49846.png

A’s share = ₹partnership-q-49840.png

partnership-q-49834.png

Let the total capital be ₹x and suppose B’s money was used for y months. Then,

partnership-q-49828.png

Thus, B’s money was used for 10 months.

In a partnership between A, B and C, A’s capital is ₹4,000. If in a profit of ₹800. A’s share is ₹200 and C’s share is ₹100, then B’s capital is

Let B’s capital is x and c’s capital is y.

∴ A’s profit

= 200partnership-q-49822.png …(i)

and C’s profit

= 100 partnership-q-49816.png … (ii)

Equation (i) ÷ Equation (ii)

⇒partnership-q-49810.png

∴ x = ₹10,000

A began business with ₹12500 and is joined afterwards by B with ₹37500. When did B join, if the profits at the end of the year are divided equally?

Let B join after x months of the start of the business so that B’s money is invested for (12–x) months.

∴ Profit ratio is 12 × 12500 : (12 – x) × 37500

⇒ 12 : 3(12 – x)

Since profit is equally divided. therefore

12 = 3(12 – x)

⇒9 x = 8.

Thus B joined after 8 months.

A began business with ₹45,000 and was later joined by B with ₹54,000. When did B join if the profit at the end of the year were divided in the ratio 2 : 1?

Let B join after ‘x’ month of the start of the business.

⇒ (45,000 × 12) : 54,000 × (12 – x)

= 2 : 1

∴ (45,000 × 12) × 1

= 54,000 × (12 – x) × 2

⇒ x = 7

Thus B joined after 7 months.

A and B rent a pasture for 10 months; A puts in 80 cows for 7 months. In how many cows can B put for the remaining 3 months, if he pays half as much again as A?

Let B puts in x cows

Then amount paid by

partnership-q-49803.png.

partnership-q-49797.png

partnership-q-49791.png

partnership-q-49785.png

partnership-q-49779.png

Hence, B puts in 280 cows

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

Let the total investment be ₹x.

Then, 20% of x = 98000

partnership-q-49773.png

Let the capitals of P, Q and R be ₹5x, ₹6x and ₹6x respectively. Then,

(5x × 12) + (6x × 12) + (6x × 6) = 490000 × 12

partnership-q-49767.png

∴ R’s investment

= 6x = ₹(6 × 35000) = ₹210000.

In a partnership, A invests ⅙ of the capital for ⅙ of the time, B invests ⅓ of the capital for ⅓ of the time and C, the rest of the capital for whole time. Find A’s share of the total profit of ₹2,300.

Remaining capital

partnership-q-49761.png

Ratio of their profit

partnership-q-49755.png

partnership-q-49749.png

∴ A’s share

= partnership-q-49743.png

A, B and C start a business each investing ₹20,000. After 5 months A withdrew ₹.5000, B withdrew ₹4000 and C invests ₹6000 more. At the end of the year, a total profit of ₹69,900 was recorded. Find the share of B.

Ratio of the capitals of A, B and C

= 20000 ×5 + 15000 × 7 : 20000 × 5 + 16000 × 7 : 20000 × 5 + 26000 × 7

= 205000 : 212000 : 282000

= 205 : 212 : 282.

B’s share = ₹partnership-q-49736.png

= ₹21,200

A is a working partner and B is a sleeping partner in a business. A puts in ₹50,000 and B ₹60,000. A gets 12.5% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of ₹8800.

The amount A gets for managing the business

= 12.5% of ₹8800

= ₹1100

Remaining profit

= ₹8800 – ₹1100

= ₹7700

This is to be divided in the ratio 5 : 6.

A’s share

partnership-q-49730.png

= ₹3500

⇒ Total share of A

= ₹3500 + ₹1100

= ₹4600.

A and B invest ₹3,000 and ₹4,000 in a business respectively. A receives ₹10 per month out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year ‘A’ totally receives ₹390, what does B receive?

In a year, for A, total amount as a remuneration

= 10 ×12 = ₹120

∴ Amount of A’s profit

= 390 – 120 = ₹270

Ratio of investment = 3 : 4

Let total profit be ₹x

Then, B’s profit = ₹(x – 270)

∴ A’s share

= partnership-q-49723.png

∴ B’s profit = 630 – 270 = ₹360

A and B entered into a partnership with capitals in the ratio of 4 : 5. CDATA[ After 3 months, A withdrew ¼ of his capital and B withdrew ⅕ of his capital. The gain at the end of 10 months was ₹760. Find the profit of B.

Let A’s capital be ₹4x and B’s capital be ₹5x

∴ Ratio of profit

= 4x × 3 + partnership-q-49717.png: partnership-q-49711.png

= 33 : 43

∴ Profit of B partnership-q-49705.png

= ₹430

In a partnership between X and Y, X’s capital is ⅖ of total and is invested for ⅔ year. If his share of the profit is ⁴⁄₇ of the total, for how long is Y’s capital in the business?

Since, x’s capital

partnership-q-49699.png

∴ y’s capital

partnership-q-49693.png

Let y invested capital for t years.

∴ partnership-q-49687.png

partnership-q-49681.png … (i)

Share of y’s profit

partnership-q-49674.png of the total

Actual ratio of profit = 4 : 3

∴ By (i), partnership-q-49668.png

partnership-q-49662.png

X and Y put in ₹3,000 and ₹4,000 respectively into a business. X reinvests into the business his share of the first year’s profit of ₹2,100 whereas Y does not reinvest. In what ratio should they share the second year’s profit?

For first year, ratio of profit = 3 : 4

X’s profit of first year

partnership-q-49656.png

Now, for second year, Ratio of profit

= 3000 × 12 + 900 × 12 : 4000 × 12

= 46800 : 48000

= 39 : 40

Now check your Result..

Your score is

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