Question

sewing machine cost $162.40 after a price increase of 16% find the price before the increase​

Answer 1

Answer:

The cost of seeing machine before increase in price is $ 140.

Step-by-step explanation:

Price of the machine after increase = $ 162.40

Increase % = 16 %

Original price = ??

Let the original price be y.

After adding 16% of the original price to the original price, the sewing machine costs $ 162.40

Equation formed is,

$\sf{\longrightarrow} \: y + (16\% \: of \: y) = 162.40$

$\sf{\longrightarrow} \: y + \left( \dfrac{16}{100} \: of \: y\right) = 162.40$

$\sf{\longrightarrow} \: y + \left( \dfrac{16}{100} \: \times \: y\right) = 162.40$

$\sf{\longrightarrow} \: y + \dfrac{16y}{100}= 162.40$

$\sf{\longrightarrow} \: y + \dfrac{4y}{25}= 162.40$

$\sf{\longrightarrow} \: \dfrac{25y + 4y}{25}= 162.40$

$\sf{\longrightarrow} \: \dfrac{29y}{25}= 162.40$

$\sf{\longrightarrow} \:29y = 162.40 \times 25$

$\sf{\longrightarrow} \:29y = 4060$

$\sf{\longrightarrow} \:y = \dfrac{4060}{29}$

$\sf{\longrightarrow} \:y = 140$

Price before increase = $ 140

Therefore, the cost of seeing machine before increase in price is $ 140.

Answer 2

Question:-

• Sewing machine cost $162.40 after a price increase of 16% find the price before the increase.

To Find:-

• Find the original price.

Solution:-

• Let the original price be x

According to the Question:-

$\dashrightarrow\sf \: x + ( 16 \% \: of \: x ) = 162.40$

$\dashrightarrow\sf \: x + \bigg ( \dfrac { 16 } { 100 } \times x \bigg ) = 162.40$

$\dashrightarrow\sf \: x + \dfrac { 4x } { 25 } = 162.40$

$\dashrightarrow\sf \: \dfrac { 25x + 4x } { 25 } = 162.40$

$\dashrightarrow\sf \: 29x = 162.40 \times 25$

$\dashrightarrow\sf \: x = \dfrac { 162.40 \times 25 } { 29 }$

$\dashrightarrow\sf \: x = 140$

Hence ,

• Price before increase is $ 140