Question

5. 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? please give answer and take the thanks ❤️​

Answer 1

Answer:

Let

• Wheat production before 2 years be x quintals

$\begin{gathered}{\mathtt{Production \: after \: 1 \: yeaer = x + x \times \frac{ {\cancel 8}}{ {\cancel 100}}}}\\\end{gathered} </p><p>Productionafter1yeaer=x+x× </p><p>1$

00

8

$\begin{gathered}{\implies{\mathtt{\frac{27x}{25}}}}\\\end{gathered}$

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

Wheatproductionafter2years=

25

27x

+

25

27x

×

1

00

8

\begin{gathered}{:{\implies{\mathtt{ \frac{27x}{25} + \frac{54x}{625}}}}}\\\end{gathered}

:⟹

25

27x

+

625

54x

\begin{gathered}{:{\implies{\tt{ \frac{27x \times 25 + 54 x}{625}}}}}\\\end{gathered}

:⟹

625

27x×25+54x

\begin{gathered}{:{\implies{\tt{ \frac{675 \times + 54 x}{ 625}}}}}\\\end{gathered}

:⟹

625

675×+54x

\begin{gathered} :\implies \tt \frac{729x}{625}\\ \end{gathered}

:⟹

625

729x

According to Question :-

\begin{gathered}{\implies{\tt{ \frac{{\cancel 729}}{625} ={\cancel 2187}}}} \\ \end{gathered}

⟹

625

7

29

=

2

187

{\pink{\boxed {\LARGE{\tt{\red{ x =1875 }}}}}}

x=1875