Question

please explain the answer​

Answer 1

$\sf \pink{sp = 800} \\ \sf \red{loss = 20\%} \\ \large \sf \orange{let \: cp \:was \: x. }$

$\rm \gray{and \: we \: know \: that}$

$\sf{cp - loss = sp} \\ \sf{ ∴x - 20\% \: of \: x = 800} \\ \sf{x - ( \frac{ \cancel{2 }\cancel0}{ \cancel{10} \cancel0} )x = 800} \\ \sf{x - \frac{x}{5} = 800} \\ \sf{4 \: \frac{x}{5} = 800} \\ \sf{x = (800 \times 5) \div 4} \\ \sf{x = 1000}$

∴CP of the cycle is ₹1000,

Now to make a profit of 10%.

$\sf{sp = cp + 10\% \: of \: cp} \\ \sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1000 + ( \frac{1 \cancel0}{10 \cancel0} ) \times 1000} \\ \sf{ = 1000 + 100} \\ \sf{ = 1100}$

The answer is ₹1100.

Answer 2

Answer:

$\: \begin{gathered} \sf \pink{sp = 800} \\ \sf \red{loss = 20\%} \\ \large \sf \orange{let \: cp \:was \: x. }\end{gathered} \\ \rm \gray{and \: we \: know \: that} \\ \begin{gathered} \sf{cp - loss = sp} \\ \sf{ ∴x - 20\% \: of \: x = 800} \\ \sf{x - ( \frac{ \cancel{2 }\cancel0}{ \cancel{10} \cancel0} )x = 800} \\ \sf{x - \frac{x}{5} = 800} \\ \sf{4 \: \frac{x}{5} = 800} \\ \sf{x = (800 \times 5) \div 4} \\ \sf{x = 1000}\end{gathered} \\ ∴CP \: of \: the \: cycle \: is \: ₹1000,\\ Now \: to \: make \: a \: profit \: of \: 10 \: percentage$

$\: \begin{gathered} \sf{sp = cp + 10\% \: of \: cp} \\ \sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1000 + ( \frac{1 \cancel0}{10 \cancel0} ) \times 1000} \\ \sf{ = 1000 + 100} \\\sf{ =1100}\end{gathered}\\The \: answer \: is \: ₹1100.$

Step-by-step explanation:

Hope it's helpful to you :) :)