Question

A farmer has an increase of 12.5% in his output in his farm every year. this year he produced 2916 quintals of wheat . what was his annual production of wheat 2years ago.

Answer 1

Answer:

2304 Quintals

Step-by-step explanation:

Let us Assume 2yrs ago as X, then next years as Y

And the current year as Z, which outcome is = 2916 Quintals

Y'th year outcome will be increased by 12.5% from X'th year

Then, Y = (12.5*X/100) + X

             = 0.125*X + X

             = 1.125 X ------> 1

Z'th Year outcome will be increase by 12.5% from Y'th year

Then, Z = (12.5*Y/100) + Y -----> 2

Now Substitute 1 in 2 we get

Z = ((12.5 * 1.125 * X) / 100) + 1.125 * X

2916 = (0.140625 * X) + 1.125 * X

2916 = 1.265625 X

X = 2304 Quintals

So Annual production of Wheat 2 years ago was 2304 quintals.

Answer 2

ans = 2304 quintals of wheat was produced two years ago