A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?

A. Rs. 50000 B. Rs. 25000 C. Rs. 150000 D. Rs. 75000 Answer: Option A
Show Answer

Solution(By Apex Team)

Let the initial investment of A and B is 18x and 7x After 4 months from the start of business, A invest Rs. 2000 more for each eight months. Then total investment of A $\begin{array}{l} =18 x \times 4+(18 x+2000) \times 8 \\ =72 x+144 x+16000 \\ =216 x+16000 \end{array}$ After 4 months, from the start of business, B invest Rs. 7000 more for each eight months. Total investment by B $\begin{array}{l} =7 x \times 4+(7 x+7000) \times 8 \\ =28 x+56 x+56000 \\ =84 x+56000 \end{array}$ According to the question, $\begin{array}{l}\Rightarrow\Large\frac{216x+16000}{84x+56000}=\frac{2}{1}\\ \Rightarrow216x+16000=168x+112000\\ \Rightarrow216x-168x=112000-16000\\ \Rightarrow48x=96000\\ \Rightarrow x=2000\end{array}$ Total initial investment of A and B $\begin{array}{l} =(18+7) \times 2000 \\ =\text { Rs. } 50000 \end{array}$

Related Questions On Partnership

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
Show Answer

Three partners A , B , C start a business . B’s Capital is four times C’s capital and twice A’s capital is equal to thrice B’s capital . If the total profit is Rs 16500 at the end of a year ,Find out B’s share in it.

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 7000
Show Answer

Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?

A. Rs. 2380
B. Rs. 2300
C. Rs. 2280
D. Rs. 2260
Show Answer

P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is

A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
Show Answer

More Related Questions On Partnership