Question

By selling a chair for rs160, a carpenter loses 20%. How much percentage will he gain/lose by selling it for rs170?
GRADE 7 PLS HELP ME OUT

Answer 1

$\huge \boxed { \red{\bold{Aɴsᴡᴇʀ}}}$

sp = 160

Loss percent = 20

Therefore 160/20 × 100

• 800
• 800 plus 170
• 970
• 970 / 20

48 5 percent

Answer 2

$\pink{\underline{~~~~~~~~~~~~~~~~~~\bf \blue\dag\frak{ \purple{Required~Solution}}~~~~~~~~~~~~~~~~~~}}$

Given:

• Selling price = ₹160

• Loss% = 20%

• New selling price = ₹170

To find:

• New Gain/Loss% if selling price becomes ₹170

Now to find Gain/Loss% , first we should know value of cost price

We know:

$\bigstar \boxed{ \rm{}Cost \: Price = \frac{(Selling \: Price \times 100)}{(100 - Loss\%)} }$

By using this formula we can find value cost price

$\dashrightarrow\sf{}Cost \: Price = \dfrac{Selling \: Price \times 100}{(100 - Loss\rm\%)}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{160 \times 100}{(100 - 20)}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{160 \times 100}{(80)}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{160 \times 100}{80}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{160 \times 10\cancel0}{8\cancel0}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{160 \times 10}{8}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{\cancel{160} \times 10}{\cancel{8}}$

$\dashrightarrow\sf{}Cost \: Price = \dfrac{20\times 10}{1}$

$\dashrightarrow\sf{}Cost \: Price =20\times 10$

$\dashrightarrow\sf{}Cost \: Price =Rs \: 200$

Now let see whether Value of cost price is greater or less than selling price

$\sf{}Rs \: 200>Rs \: 170$

$\sf \therefore{}Cost \: price >Selling \: price$

Now we know that again he will make loss again .°. we have to find loss %.

we know:

$\bigstar \boxed{ \rm{}Loss = Cost \: price- Selling \: price }$

$\dashrightarrow\sf{}Loss = Cost \: price- Selling \: price$

$\dashrightarrow\sf{}Loss =200 - 170$

$\dashrightarrow\sf{}Loss =Rs \: 30$

Finally Let's find loss %

$\bigstar \boxed{ \rm{}Loss\% = \frac{Loss}{Cost \: price } \times 100 }$

$\dashrightarrow \sf{}Loss\rm\% =\sf \dfrac{Loss}{Cost \: price } \times 100$

$\dashrightarrow \sf{}Loss\rm\% = \sf\dfrac{30}{200 } \times 100$

$\dashrightarrow \sf{}Loss\rm\% = \sf\dfrac{30}{2\cancel0\cancel0 } \times 1\cancel0\cancel0$

$\dashrightarrow \sf{}Loss\rm\% = \sf\dfrac{30}{2 } \times 1$

$\dashrightarrow \sf{}Loss\rm\% = \sf\dfrac{30}{2 }$

$\dashrightarrow \sf{}Loss\rm\% = \sf\cancel\dfrac{30}{2 }$

$\dashrightarrow \underline{ \boxed{\sf{}Loss\rm\% =\sf15\rm\%}}$