Question

This year, in a village, the amount of grown wheat has decreased 12% from last year's grown wheat. If this year, the amount of grown wheat is 175 quintal. Then, what was the amount of grown wheat in last year?
Answer the question with explanation. ​

Answer 1

Amount of grown wheat in last year is 198.86 quintal.

Step-by-step explanation:

We are given that this year, in a village, the amount of grown wheat has decreased 12% from last year's grown wheat and in this year, the amount of grown wheat is 175 quintal.

Let the amount of grown wheat in last year be x quintal.

Since it is given that the amount of grown wheat has decreased from the last year's grown wheat which is represented through the following equation;

Amount of grown wheat last year - Decreased amount of grown wheat = Amount of grown wheat this year

Now, the decreased % amount of wheat will be applied on the wheat grown last year or original amount.

So, Decreased amount of grown wheat = 12% of Amount of grown wheat last year

                                                                  = $\frac{12}{100} \times x$ = $0.12 x$

Now, according to equation;

                             $x - 0.12x = 175$

                              $0.88x = 175$

                                   $x = \frac{175}{0.88}$ = 198.86 or close to 199

Therefore, amount of grown wheat in last year is 198.86 quintal.