Question

the price of a notebook was increased by x% to bring the price to the earlier level it had been reduced by 16 2/3 % find x value​

Answer 1

Answer:

price after increase = 100+x

100+x=loox loo/100-16 2/3

100+x=100x100/83 I/3

100+x=100x100x3/250=120

100 + x=120

x = 120-100 = 20%

x=20%

=

Answer 2

\huge\bold\green{\underline{Solution:}}

Solution:

\bold\green{\underline{Let:}}

Let:

The price of notebook be 100

\bold\green{\underline{Given:}}

Given:

X% increased in the price of notebook

so,

The price of notebook=100+X/100*100

The price of notebook=100+X

Than,the price of notebook is reduced by 16whole2/3%

Thus

The price of notebook=(100+X)*50/100*3

The price of notebook=(100+X)*50/300

Now,

According to the above information

100 + x - ( \frac{100 + x) \times 50}{300} ) = 100100+x−(

300

100+x)×50

)=100

Here, we take common (100+x)

\begin{gathered}100 + x(1 - \frac{50}{300} ) = 100 \\ \\ 100 + x( \frac{300 - 50}{300} ) = 100 \\ \\ (100 + x) \times \frac{250}{300} = 100 \\ \\ 100 + x = \frac{100 \times 300}{250} \\ \\ 100 + x = 120 \\ \\ x = 120 - 100 \\ \\ x = 20\%\end{gathered}

100+x(1−

300

50

)=100

100+x(

300

300−50

)=100

(100+x)×

300

250

=100

100+x=

250

100×300

100+x=120

x=120−100

x=20%

Hence,

The price to earlier level to increase 20%

\bold\orange{\underline{The\: value\:of\:X=20\%}}

ThevalueofX=20%