correct answer is: c) 8\;:\;5

Explanation

Here,
The given ratio is 4\;:\;3\;.
And, total cultivated land is 35 katha.
Let,
The man cultivated brinjal in 4x katha.
And, he cultivated potato in 3x katha.
According to the question,
\left(4x+3x\right)=35 katha.
\rightarrow 7x=35
\rightarrow x=\large\frac{35}{7}
\rightarrow x=5.
So that,
The man cultivated brinjal in 4x or \left(4\times5\right)=20 katha.
And, he cultivated potato in 3x or \left(3\times5\right)=15 katha.
Now,
₹ 150 per katha, the man made profit for brinjal is :
\rightarrow ₹ \left(150\times20\right)= ₹ 3000.
And, ₹ 125 per katha, the man made profit for potato is :
\rightarrow ₹ \left(125\times15\right)= ₹ 1875.
So that,
The ratio of profit is :
₹\;3000\;:\;₹\;1875\;=\large\frac{3000}{1875}=\frac{8}{5}\normalsize=\;8\;:\;5
Ans: 8\;:\;5 is the ratio of profit of that man from his cultivation of brinjal and potato from his total land.

You can try different ways to express this math problem:

1. Cultivating brinjal and potato in the ratio of 4 : 3 on his 35 katha land, a man garnered a profit of ₹ 150 per katha for brinjal and ₹ 125 per katha for potato. Calculate the ratio of the man’s profit from cultivating brinjal and potato on his entire land.
2. On his 35 katha land, a man grew brinjal and potato in the ratio of 4 : 3. He earned a profit of ₹ 150 per katha for brinjal and ₹ 125 per katha for potato. Find the ratio of the man’s profit from cultivating brinjal and potato on his entire land.
3. A man cultivated brinjal and potato in the ratio of 4 : 3 on his 35 katha land. He earned a profit of ₹ 150 per katha for brinjal and ₹ 125 per katha for potato. Determine the ratio of profit earned by the man from his cultivation of brinjal and potato across his entire land.