# Partnership MCQ Questions

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 Question 1
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.
 A Rs. 10500, Rs. 13500, Rs. 15500 B Rs. 11500, Rs. 13500, Rs. 16500 C Rs. 10500, Rs. 12500, Rs. 16500 D 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
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:
 A Rs. 360 B Rs. 380 C Rs. 430 D 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
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?
 A Rs. 10, 500 B Rs. 10, 250 C Rs. 12, 500 D 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
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
 A Rs 300 B Rs 200 C Rs 500 D 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
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?
 A Rs. 10, 000 B Rs. 7500 C Rs. 9500 D Rs. 9000