## Partnership

Question 1 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.

Rs. 10500, Rs. 13500, Rs. 15500 | |

Rs. 11500, Rs. 13500, Rs. 16500 | |

Rs. 10500, Rs. 12500, Rs. 16500 | |

Rs. 10500, Rs. 13500, Rs. 16500 |

Question 1 Explanation:

\begin{align} & A:B:C \cr & = 35000:45000:55000 \cr & = 7:9:11 \cr & {\text{Now}}\,{\text{we}}\,{\text{are}}\,{\text{having}}\,{\text{the}}\,{\text{ratio}}{\text{.}} \cr & {\text{to}}\,{\text{get}}\,{\text{the}}\,{\text{share,}}\,{\text{first}}\,{\text{make}}\,{\text{total}}\,{\text{of}}\,{\text{above}}\,{\text{ratio}}{\text{.}} \cr & {\text{then}}\,{\text{get}}\,{\text{each}}\,{\text{share}}{\text{.}} \cr & {\text{A's}}\,{\text{Share}} = 40500*\frac{7}{{27}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,10500 \cr & {\text{B's}}\,{\text{Share}} = 40500*\frac{9}{{27}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,13500 \cr & {\text{C's}}\,{\text{Share}} = 40500*\frac{{11}}{{27}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,16500\, \cr\end{align}

Question 2 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew

^{1}/_{4}of his capital and B withdrew^{1}/_{5}of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:Rs. 360 | |

Rs. 380 | |

Rs. 430 | |

Rs. 330 |

Question 2 Explanation:

\begin{align} & A:B \cr & = \left[ {4x \times 3 + \left( {4x - \frac{1}{4} \times 4x} \right) \times 7} \right]:\left[ {5x \times 3 + \left( {5x - \frac{1}{5} \times 5x} \right) \times 7} \right] \cr & = \left( {12x + 21x} \right):\left( {15x + 28x} \right) \cr & = 33x:43x \cr & = 33:43 \cr & \therefore {\text{A's}}\,{\text{share}} = Rs.\,\left( {760 \times \frac{{33}}{{76}}} \right) \cr & = Rs.\,330 \cr\end{align}

Question 3 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

Rs. 10,500 | |

Rs. 10,250 | |

Rs. 12,500 | |

Rs. 9,423 |

Question 3 Explanation:

\begin{align} & {\text{Simran}}\,{\text{:}}\,{\text{Nanda}} \cr & = \left( {50000 \times 36} \right):\left( {80000 \times 30} \right) \cr & = 3:4 \cr & \therefore {\text{Simran's}}\,{\text{share}} \cr & = Rs.\,\left( {24500 \times \frac{3}{7}} \right) \cr & = Rs.\,10,500 \cr\end{align}

Question 4 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is

Rs 300 | |

Rs 200 | |

Rs 500 | |

Rs 400 |

Question 4 Explanation:

Let C = x.

Then B = x/2

and A = x/4

A:B:C = 1:2:4.

C's share Rs.[(4/7)*700) = 400

Question 5 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

Rs. 10,000 | |

Rs. 7500 | |

Rs. 9500 | |

Rs. 9000 |

Question 5 Explanation:

\begin{align} & A:B:C \cr & = \left( {20000 \times 24} \right):\left( {15000 \times 24} \right):\left( {20000 \times 18} \right) \cr & = 4:3:3 \cr & \therefore {\text{B's}}\,{\text{share}} = Rs.\,\left( {25000 \times \frac{3}{{10}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,7500 \cr\end{align}

Question 6 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

Rs. 45 | |

Rs. 60 | |

Rs. 55 | |

Rs. 50 |

Question 6 Explanation:

\begin{align} & A:B:C \cr & = \left( {10 \times 7} \right):\left( {12 \times 5} \right):\left( {15 \times 3} \right) \cr & = 70:60:45 \cr & = 14:12:9 \cr & \therefore {\text{C's}}\,{\text{rent}} = Rs.\,\left( {175 \times \frac{9}{{35}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,45 \cr\end{align}

Question 7 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

Rs. 55 | |

Rs. 45 | |

Rs. 50 | |

Rs. 60 |

Question 7 Explanation:

A : B : C = (10 * 7) : (12 * 5) : (15 * 3) = 70 : 60 : 45 = 14 : 12 : 9.

C's rent = Rs.(175 * 9/35) = Rs. 45.

Question 8 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.

17:5 | |

17:6 | |

17:3 | |

17:7 |

Question 8 Explanation:

In this type of question as time frame for both investors is equal then just get the ratio of their investments.

P:Q = 85000:15000

= 85:15

= 17:3

Question 9 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive

Rs. 600 | |

Rs. 700 | |

Rs. 900 | |

Rs. 800 |

Question 9 Explanation:

Let

P's capital = p,

Q's capital = q and

R's capital = r.

Then

4p = 6q = 10r

=> 2p = 3q = 5r

=>q = 2p/3

r = 2p/5

P : Q : R = p : 2p/3 : 2p/5 **(multiple by 15)**

= 15 : 10 : 6

R's share = 4650 * (6/31) = 150*6 = Rs. 900.

Question 10 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें) |

Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.

17:3 | |

17:1 | |

17:4 | |

17:2 |

Question 10 Explanation:

Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.

P:Q = 85000:15000 = 17:3

Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.

There are 10 questions to complete.