Math, asked by aliyumna959, 1 month ago

find the amount 0.26 is 78% of​

Answers

Answered by RomanticBoy222
2

 \longrightarrow  \sf \: let \:  \:  \: the \:  \:  \: amount \:  \:  \: be \:  \:  \: \bf x

 \therefore \sf \:  \: 78\% \:  \:  \: of \:  \:  \: x \:  \:  \:  =  \:  \:  \: 0.26 \\  \\  \\   \sf\cfrac{78}{100}  \:  \:  \:  \times  \:  \:  \: x \:  \:  \:  =  \:  \:  \:  \frac{26}{100}  \\  \\  \\ \sf x \:  \:  \:  =  \:  \:  \:  \cfrac{26}{ \cancel{100}}  \:  \:  \:  \times  \:  \:  \:  \cfrac{ \cancel{100}}{78}  \\  \\  \\ \sf x \:  \:  \:  =  \:  \:   \xcancel\cfrac{26}{78}  \\  \\  \\ \sf x \:  \:  \:  =  \:  \:  \:  \cfrac{1}{3}

Answered by TrueRider
64

Question:

What is 0.26 percent of 78?

Solution:

Percentage solution with steps:

Step 1: Our output value is 78.

Step 2: We represent the unknown value with x

Step 3: From step 1 above, 78 = 100%

Step 4: Similarly, x = 0.26%

Step 5: This results in a pair of simple equations:

78 = 100\%(1) \: .

x  \: = 0.26\%(2) \: .

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have

 \frac{ \: 78 \: }{ \: x \: }  =  \frac{ \: 100 \: \%}{ \: 0.26 \: \%}

Step 7: Again, the reciprocal of both sides gives

 \frac{ \: x \: }{ \: 78 \: }  =  \frac{ \: 0.26 \: }{ \: 100 \: }

➠ \: x = 0.2028

Therefore, 0.26\% \: of \: 78 \: is \: 0.2028

Similar questions