Question

A farmer has an increase of 12.5% in the output of wheat in his farm every year. This year, he produced 2916 quintals of wheat. What was his annual production of wheat 2 years ago?​

Answer 1

Step-by-step explanation:

</p><p>

Let

Wheat production before 2 years be x quintals

{\mathtt{Production \: after \: 1 \: yeaer = x + x \times \frac{ {\cancel 8}}{ {\cancel 100}}}}Productionafter1yeaer=x+x×

1

00

8

{\implies{\mathtt{\frac{27x}{25}}}}⟹

25

27x

{\mathtt{Wheat \: production \: after \: 2 years \: = \frac{27x}{25} + \frac{27x}{25} \times \frac{ {\cancel 8}}{ {\cancel 100}}}}Wheatproductionafter2years=

25

27x

+

25

27x

×

1

00

8

{:{\implies{\mathtt{ \frac{27x}{25} + \frac{54x}{625}}}}}:⟹

25

27x

+

625

54x

{:{\implies{\tt{ \frac{27x \times 25 + 54 x}{625}}}}}:⟹

625

27x×25+54x

{:{\implies{\tt{ \frac{675 \times + 54 x}{ 625}}}}}:⟹

625

675×+54x

{:{\implies{\tt \frac{729x}{625}}}}}

{\underline{\underline{\LARGE{\bold{A.T.Q}}}}}

A.T.Q

{\implies{\tt{ \frac{{\cancel 729}}{625} ={\cancel 2187}}}}⟹

625

7

29

=

2

187

{\pink{\boxed {\LARGE{\tt{\red{ x =3 \times 625 = 1875 }}}}}}