Question

Sakil of Baruipara, divides his land equally for banana and betel-leaf cultivation and earns a total of ₹. $ 2830 $ . From betel-leaf cultivation, he earned ₹. $ 630 $ more than what he got from the banana plantation. Let’s calculate how much did he earn for Banana cultivation.

Answer 1

Hint: First in this problem we take earnings from banana leaf cultivation as ‘x’. Because earning from betel leaf is more than that of banana leafs and hence depends on earning from banana leaf cultivation. Using it we can find earnings of both and then using together to equal to total earnings to get the value of ‘x’. Which is the required earning from banana leaf cultivation.

Complete step-by-step answer:
Here, in the given statement Sakil divides his land equally for Banana and betel leaf cultivation.
His total earning from both is ₹. $ 2830 $ .
Since, in statement we see that his earning from betel leaf is ₹. $ 630 $ more than from banana plantation. Hence, we can say that earning from betel leaf depends upon earning from banana leaf.
Therefore, let earning from banana cultivation is x
Then according to statement earning from betel cultivation will be = $ x + 630 $
Also, his total earning from both is ₹. $ 2830 $
Therefore, the sum of earnings from both banana and betel left must be equal to ₹. $ 2830 $
 $
   \Rightarrow x + x + 630 = 2830 \\
   \Rightarrow 2x + 630 = 2830 \\
   \Rightarrow 2x = 2830 - 630 \\
   \Rightarrow 2x = 2200 \\
   \Rightarrow x = 1100 \\
  $
Hence, from above we see that Sakil earns ₹. $ 1100 $ from banana leaf cultivation and from betel leaf cultivation he earns
₹. $ 1100 + 630 = 1730 $

Therefore, we see that Sakil earns ₹. $ 1100 $ from banana leaf cultivation.

Note: In this type of problem in which the value of one term is depending on the value of others. We should take smaller as ‘x’ and solve bigger in terms of smaller and finally using to form an equation from given condition to solve ‘x’ and hence to find required solution of given problem.