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- Most Important Multiple Choice Questions
- Online Partnership Exercise with Correct Answer Key and Solutions
- Useful for all Competitive Exams

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- Question 1 of 14
##### 1. Question

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

##### Hint

If C puts in Rs x, then B puts in Rs 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

- Question 2 of 14
##### 2. Question

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?

##### Hint

Let the total profit be Rs z. Then,

B’s share = Rs

A’s share = Rs

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

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

- Question 3 of 14
##### 3. Question

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

##### Hint

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

∴ A’s profit

= 200 …(i)

and C’s profit

= 100 … (ii)

Equation (i) ÷ Equation (ii)

⇒

∴ x = Rs 10,000

- Question 4 of 14
##### 4. Question

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

##### Hint

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.

- Question 5 of 14
##### 5. Question

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

##### Hint

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.

- Question 6 of 14
##### 6. Question

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?

##### Hint

Let B puts in x cows

Then amount paid by

.

Hence, B puts in 280 cows

- Question 7 of 14
##### 7. Question

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 Rs 98,000. What was the amount invested by R?

##### Hint

Let the total investment be Rs x.

Then, 20% of x = 98000

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

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

∴ R’s investment

= 6x = Rs (6 × 35000) = Rs 210000.

- Question 8 of 14
##### 8. Question

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 Rs 2,300.

##### Hint

Remaining capital

Ratio of their profit

∴ A’s share

=

- Question 9 of 14
##### 9. Question

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

##### Hint

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 = Rs

= Rs 21,200

- Question 10 of 14
##### 10. Question

A is a working partner and B is a sleeping partner in a business. A puts in Rs 50,000 and B Rs 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 Rs 8800.

##### Hint

The amount A gets for managing the business

= 12.5% of Rs 8800

= Rs 1100

Remaining profit

= Rs 8800 – Rs 1100

= Rs 7700

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

A’s share

= Rs 3500

⇒ Total share of A

= Rs 3500 + Rs 1100

= Rs 4600.

- Question 11 of 14
##### 11. Question

A and B invest Rs 3,000 and Rs 4,000 in a business respectively. A receives Rs 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 Rs 390, what does B receive?

##### Hint

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

= 10 ×12 = Rs 120

∴ Amount of A’s profit

= 390 – 120 = Rs 270

Ratio of investment = 3 : 4

Let total profit be Rs x

Then, B’s profit = Rs(x – 270)

∴ A’s share

=

∴ B’s profit = 630 – 270 = Rs 360

- Question 12 of 14
##### 12. Question

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 Rs 760. Find the profit of B.

##### Hint

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

∴ Ratio of profit

= 4x × 3 + :

= 33 : 43

∴ Profit of B

= Rs 430

- Question 13 of 14
##### 13. Question

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?

##### Hint

Since, x’s capital

∴ y’s capital

Let y invested capital for t years.

∴

… (i)

Share of y’s profit

of the total

Actual ratio of profit = 4 : 3

∴ By (i),

- Question 14 of 14
##### 14. Question

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

##### Hint

For first year, ratio of profit = 3 : 4

X’s profit of first year

Now, for second year, Ratio of profit

= 3000 × 12 + 900 × 12 : 4000 × 12

= 46800 : 48000

= 39 : 40

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