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A, B and C entered into a partnership. A invested Rs. 2560 and B invested Rs. 2000. At the end of the year, they gained Rs. 1105, out of which A got Rs. 320. C's capital was ?

1Rs. 2840
2Rs. 4028
3Rs. 4280
4Rs. 4820

Answer:- 1

Explanation:-

Solution:

Let C's capital be Rs. x
Then,
A : B : C = 2560 : 2000 : x

\begin{aligned} A's share \\ = Rs . (1105 \times \frac{2560}{4560 + x}) \\ ∴ 1105 \times \frac{2560}{4560 + x} = 320 \\ \Rightarrow 320 x + 1459200 = 2828800 \\ \Rightarrow 320 x = 1369600 \\ \Rightarrow x = 4280 \end{aligned}

$\eqalign{ & {\text{A's share}} \cr & = {\text{Rs}}{\text{.}}\left( {1105 \times \frac{{2560}}{{4560 + x}}} \right) \cr & \therefore 1105 \times \frac{{2560}}{{4560 + x}} = 320 \cr & \Rightarrow 320x + 1459200 = 2828800 \cr & \Rightarrow 320x = 1369600 \cr & \Rightarrow x = 4280 \cr}$

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

Solution:

Let C's capital be Rs. x
Then,
A : B : C = 2560 : 2000 : x

\begin{aligned} A's share \\ = Rs . (1105 \times \frac{2560}{4560 + x}) \\ ∴ 1105 \times \frac{2560}{4560 + x} = 320 \\ \Rightarrow 320 x + 1459200 = 2828800 \\ \Rightarrow 320 x = 1369600 \\ \Rightarrow x = 4280 \end{aligned}

$\eqalign{ & {\text{A's share}} \cr & = {\text{Rs}}{\text{.}}\left( {1105 \times \frac{{2560}}{{4560 + x}}} \right) \cr & \therefore 1105 \times \frac{{2560}}{{4560 + x}} = 320 \cr & \Rightarrow 320x + 1459200 = 2828800 \cr & \Rightarrow 320x = 1369600 \cr & \Rightarrow x = 4280 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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