correct answer is: d) 25\;:\;21

Explanation

Here,
Land ratio is 4\;:\;3\;.
And, Total land is 35 bighas.
Let,
Paddy grew in 4x bighas.
Jute grew in 3x bighas.
According to the question,
4x+3x=35 bighas
\rightarrow 7x=35
\rightarrow x=\large\frac{35}{7}
\rightarrow x=5.
So that,
Paddy grew in 4x or \left(4\times5\right)=20 bighas.
Jute grew in 3x or \left(3\times5\right)=15 bighas.
Now,
Profit earns from paddy at the rate of ₹ 2500 per bigha is :
\rightarrow ₹ \left(2500\times20\right)= ₹ 50000
Profit earns from paddy at the rate of ₹ 2800 per bigha is :
\rightarrow ₹ \left(2800\times15\right)= ₹ 42000
So that,
The required ratio of the profit is :
\large\frac{50000}{42000}=\frac{50}{42}=\frac{25}{21}\normalsize= 25\;:\;21\;.
Ans: The ratio of profit from paddy and jute is 25\;:\;21\;.

Alternative phrasings for this particular math query are:

1. Cultivating paddy and jute in the ratio of 4 : 3 across 35 bighas of land, a co-operative agriculture farm earns ₹ 2500 per bigha from paddy and ₹ 2800 per bigha from jute. Calculate the ratio of profit gained from paddy and jute.
2. A co-operative agriculture farm allocates its 35 bighas of land for cultivating paddy and jute in the ratio of 4 : 3. If the profit generated per bigha is ₹ 2500 for paddy and ₹ 2800 for jute, find the ratio of profit obtained from paddy and jute.
3. A co-operative agriculture farm utilizes its 35 bighas of land to grow paddy and jute in the ratio of 4 : 3. At a profit of ₹ 2500 per bigha from paddy and ₹ 2800 per bigha from jute, compute the ratio of profit obtained from paddy and jute.