Math, asked by siyamishra261009, 3 months ago

Mr. Gupta spends 78% of his salary. If his salary is

₹ 12750 per month, what amount does he save?

Pls Answer Step by Step​

Answers

Answered by MasterDhruva
10

Given :-

Percent of salary spent :- 78%

Total salary of Mr. Gupta :- ₹ 12750

To Find :-

Total amount saved by Mr. Gupta.........

Solution :-

First, we should find total salary spent by finding 78% of 12750, and then we should subtract the obtained answer with total salary..........

Total salary spent :-

{\tt \longrightarrow 78 \bf\% \sf \:  \: of \tt \:  \: 12750}

{\tt \longrightarrow \dfrac{78}{100} \times 12750}

{\tt \longrightarrow \dfrac{78}{ \cancel{100}} \times \cancel{12750} = \dfrac{78}{2} \times 255}

{\tt \longrightarrow \dfrac{78 \times 255}{2} = \dfrac{19890}{2}}

{\tt \longrightarrow \cancel\dfrac{19890}{2} = \boxed{\tt Rs \: \: 9945}}

Now,

Total salary saved :-

{\tt \longrightarrow 12750 - 9945}

{\tt \longrightarrow Rs \:  \: 2805}

\Huge\therefore Mr. Gupta saves 2805 from her salary every month.

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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 form and then multiply by 100.
Answered by suraj5070
78

 \sf \bf \huge {\boxed {\mathbb {QUESTION}}}

 \tt Mr.\:Gupta \:spends\: 78\%\: of\: his\: salary.\: If \:his\: salary \:is\\\tt ₹ 12750\: per\: month\:, what\: amount\: does\: he\: save

 \sf \bf \huge {\boxed {\mathbb {ANSWER}}}

 \sf \bf {\boxed {\mathbb {GIVEN}}}

 \sf \bf Salary\:of\:Mr.\:Gupta=₹ 12750

 \sf \bf Percentage \:of \:money \:spent =78\%

 \sf \bf {\boxed {\mathbb {TO\:FIND}}}

 \sf \bf Amount\:saved\:by\:Mr. \:Gupta

 \sf \bf {\boxed {\mathbb {SOLUTION}}}

 \tt\underline {Mr.\:Gupta \:salary \:spent}

 \sf \bf \implies 78\%\:of\:₹ 12750

 \sf \bf \implies 78\%\:of\: 12750

 \sf \bf \implies \dfrac{78}{100}\times 12750

 \sf \bf \implies \dfrac{994500}{100}

 \sf \bf \implies \dfrac{9945\cancel {00}}{1\cancel {00}}

 \implies {\boxed {\color {blue} {\sf \bf ₹ 9945}}}

\tt \underline {\therefore Amount \:spent \:by \:Mr. \:Gupta \:is\:₹ 9945}

------------------------------------------------------------------

{\underbrace {\overbrace {\color {orange} {\tt  Amount\:saved\:by\:Mr. \:Gupta}}}}

 \sf \bf (Salary\:of\:Gupta) - (Spent\:money) = (Saved\:money)

 \tt \underline {Substitute\:the \:values}

 \sf \bf\implies 12750-9945

 \implies{\boxed {\boxed {\color {red} {\sf \bf ₹ 2805}}}}

 {\color {purple}  {\underline {\sf \bf \therefore Mr. \:Gupta \:saved \:₹ 2805}}}

 \sf \bf \huge {\boxed {\mathbb {HOPE\:IT \:HELPS \:YOU}}}

_________________________________________

 \sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}

 \tt {Percentage}

 \tt The\: term\: 'per\: cent'\: means\: 'out\: of\: a \:hundred'.\\\tt In \:mathematics\:, percentages\: are\: used\: like\\\tt fractions\: and\: decimals\:, as\: ways\: to\: describe \\\tt parts\: of\: a\: whole.\: When\: you\: are\: using\: \\\tt percentages\:, the\: whole\: is\: considered\: to\: be \\\tt made\: up\: of\: a \:hundred\: equal\: parts.

 {\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}

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