P and Q started a business in the ratio of 2 : 3. After 1 year P left the business but Q continues. After 2 years he had profit of Rs. 26000. What is the profit of Q?

1Rs. 10400
2Rs. 13000
3Rs. 15600
4None of these

Answer:- 1

Explanation:-

Solution:

Let the initial capital of P and Q be Rs. 2x and Rs. 3x respectively
Then, ratio of profits

\begin{aligned} = (2 x \times 12) : (3 x \times 24) \\ = 24 x : 72 x \\ = 1 : 3 \\ ∴ Q's share \\ = Rs . (26000 \times \frac{3}{4}) \\ = Rs. 19500 \end{aligned}

$\eqalign{ & = \left( {2x \times 12} \right):\left( {3x \times 24} \right) \cr & = 24x:72x \cr & = 1:3 \cr & \therefore {\text{Q's share}} \cr & = {\text{Rs}}{\text{.}}\left( {26000 \times \frac{3}{4}} \right) \cr & = {\text{Rs. }}{\text{19500}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the initial capital of P and Q be Rs. 2x and Rs. 3x respectively
Then, ratio of profits

\begin{aligned} = (2 x \times 12) : (3 x \times 24) \\ = 24 x : 72 x \\ = 1 : 3 \\ ∴ Q's share \\ = Rs . (26000 \times \frac{3}{4}) \\ = Rs. 19500 \end{aligned}

$\eqalign{ & = \left( {2x \times 12} \right):\left( {3x \times 24} \right) \cr & = 24x:72x \cr & = 1:3 \cr & \therefore {\text{Q's share}} \cr & = {\text{Rs}}{\text{.}}\left( {26000 \times \frac{3}{4}} \right) \cr & = {\text{Rs. }}{\text{19500}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }