Question

A factory increases the production of its machine parts from 8000 to 92610 in 3
years. find the rate of growth.​

Answer 1

Answer:

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Answer 2

$\large{\underline{\underline{\textsf{\maltese{\red{ Given :}}}}}}$

Original production of machine :- 80000

Production after the changes :- 92610

$\large{\underline{\underline{\textsf{\maltese{\pink{ To find :}}}}}}$

Rate of growth of the production of machine.

$\large{\underline{\underline{\textsf{\maltese{\purple{ Formula required :}}}}}}$

${\large \tt \dashrightarrow \orange{\boxed {\tt \green{\dfrac{Number \: of \: value \: changed}{Original \: value} \times 100}}}}$

$\large{\underline{\underline{\textsf{\maltese{\orange{ Solution : }}}}}}$

• First, we should find the value of production changed in numerical format by subtracting the production after change and original value.

Number of value changed :-

${\tt \longrightarrow 92610 - 80000}$

${\tt \longrightarrow 12610 \sf \: \: machines}$

Rate of the value changed :-

${\tt \longrightarrow \dfrac{12610}{80000} \times 100}$

${\tt \longrightarrow \dfrac{12610}{\cancel{80000}} \times \cancel{100} = \dfrac{12610}{800}}$

${\tt \longrightarrow \cancel \dfrac{12610}{800} = \boxed{\tt 15.7 \bf\%}}$

⛬ The rate of growth in production of machines is $\bold{15.7}$ ${\bf\%}.$

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$\bf{\underline{\overline{\blue{More\: to \:know :-}}}}$

• Percentage is written by the symbol of %.

• Percentage is used all over the world for many purposes. It is mostly used in calculating the marks of the students in schools and collages. The percentage can also be converted to fraction, decimal and ratio formats.

• To convert fraction to percentage, we should multiply the given fraction with 100.

• To convert decimal to percentage, first we should convert it to fractional form and then multiply by 100.

• To convert the ratio to percentage, first we should convert it to fraction.