Question

rajesh studies for 6 hours in a. day of which he spends 60% time on mathematics and 40% time on physics . find how much time spends studying the two subjects?​

Answer 1

➤ Given :-

Timings read in a day :- 6 hours

Time taken for mathematics :- 60%

Time taken for physics :- 40%

➤ To Find :-

Timings read in a day for the two subjects in numerical form..............

➤ Solution :-

Conversion from hours to minutes.........

${ \tt \longrightarrow 60 \bf\% \sf\: \: of \: \tt \: 6 \: \sf \: hours}$

In this following statement, we should convert the hours to minutes format......

1 hour = 60 minutes

6 hours = 6 $\times$ 60 = 360 minutes

So,

Timing took for mathematics :-

${ \tt \longrightarrow 60 \bf\% \sf \: \: of \tt \: \: 360}$

${ \tt \longrightarrow \dfrac{60}{100} \times 360 = \boxed{ \tt \dfrac{60 \times 360}{100} }}$

${ \tt \longrightarrow \cancel \dfrac{21600}{100} = \boxed{ \tt 216 \sf \: \: minutes}}$

Timing took for physics :-

$\tt \longrightarrow 40 \bf\% \sf \: \: of \: \tt \: \: 360$

${ \tt \longrightarrow \dfrac{40}{100} \times 360 = \boxed{ \tt \dfrac{40 \times 360}{100} }}$

${ \tt \longrightarrow \cancel \dfrac{14400}{100} = \boxed{ \tt 144 \sf \: \: minutes} }$

Now, we should convert the minutes to hour format.........

216 minutes :- 3 hours 36 minutes

144 minutes :- 2 hours 24 minutes

$\:$

$\Huge\therefore$Rajesh took 3 hours 26 minutes for mathematics and 2 hours 24 minutes for physics.

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More to know.................

• Percentage is represented in the form of '%'.
• It is used for many purposes. They are mainly used to calculate the marks in exams in schools and collages.
• The percentage can be converted into fractional and decimal form.
• To convert fraction to percentage, we should multiply the given fraction with 100.
• To convert the decimal to percentage, first we should convert the decimal to fraction and then multiply by 100.