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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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