A,B and C contributed rupees 25000, rupees 50000, rupees 75000 respectively in a business and their share of profits are proportional to the capital they contributed if the profits are rupees 48000. what is the share of each of them?
Answers
Answer:
Solution :
$$\underline{\bf{Given\::}}}$$
Focal length of lens, (f) = 15 cm
Distance of object from lens, (u) = -12 cm
$$\underline{\bf{Explanation\::}}}$$
As we know that formula of the lens;
$$\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}$$
A/q
$$\begin{gathered}\longrightarrow\sf{\dfrac{1}{15} =\dfrac{1}{v} -\dfrac{1}{(-12)}} \\\\\\\longrightarrow\sf{\dfrac{1}{15} =\dfrac{1}{v} +\dfrac{1}{12}}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{15} -\dfrac{1}{12}}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{4 - 5}{60}}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-1}{60}}\\\\\longrightarrow\sf{-v=60}\\\\\longrightarrow\bf{v=-60\:cm}\end{gathered}$$
Thus;
Image is formed at a distance of 60 cm in front of the mirror.
It's inverted & real .
Answer:
Amount contributed A=₹25000
Amount contributed B= ₹ 50000
Amount contributed C= ₹ 75000
Total profit = ₹ 48000
= 25000, 50000, 75000 = 1: 2: 3
1:2:3 = 48000
1/ 6 * 48000 = 8000
2/6 * 48000 = 16000
3/6 * 48000 = 24000
Therefore, A share is ₹ 8000, B share is ₹ 16000 and C share is ₹ 24000.
Hope it is helpful......