Question

the iPhone was marked at 40% above the cost price and a discount of 30% was given on its marked price find the gain or loss per cent mede by the store​

Answer 1

AnswEr :

Let the Cost Price of iPhone be Rs. 100

$\underline{\bf{\dag}\:\textsf{Marked Price of iPhone :}}$

$:\implies\tt Marked\:Price = Cost\:Price \times (100+Above)\%\\\\\\:\implies\tt Marked\:Price =100 \times(100 + 40)\%\\\\\\:\implies\tt Marked\:Price =100 \times 140\%\\\\\\:\implies\tt Marked\:Price =100 \times\dfrac{140}{100}\\\\\\:\implies\tt Marked\:Price =Rs. \:140$

$\rule{150}{2}$

$\underline{\bf{\dag}\:\textsf{Selling Price of iPhone :}}$

$:\implies\tt Selling\:Price=Marked\: Price \times (100-Discount)\% \\\\\\:\implies\tt Selling\:Price=140 \times (100 - 30)\%\\\\\\:\implies\tt Selling\:Price=140 \times 70\%\\\\\\:\implies\tt Selling\:Price=140 \times \dfrac{70}{100}\\\\\\:\implies\tt Selling\:Price=14 \times 7\\\\\\:\implies\tt Selling\:Price=Rs. \:98$

$\rule{250}{1}$

$\underline{\bigstar\:\textsf{Loss Percentage on iPhone :}}$

$\longrightarrow\tt Loss\% = \dfrac{CP-SP}{CP} \times 100\\\\\\\longrightarrow\tt Loss\% = \dfrac{100-98}{100} \times 100\\\\\\\longrightarrow\underline{\boxed{\tt \red{Loss\% = 2\%}}}$

⠀

$\therefore\:\underline{\textsf{Loss incurred by Store on iPhone is \textbf{2\%.}}}$

$\rule{250}{2}$

$\boxed{\begin{minipage}{6.5 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

Answer 2

Step-by-step explanation:

$\huge\underline\purple{\sf Answer :-}$

$\large\implies{\sf }$ Let the Cost price of iPhone be Rs 100.

So Marked Price = 100 + 40 (40%)

Marked Price= Rs 140

Discount= 30% given

• $\large{\sf {\frac{</strong><strong>3</strong><strong>0</strong><strong>}{</strong><strong>1</strong><strong>0</strong><strong>0</strong><strong>}}}$ X 140
• So discount= Rs 42

$\large\implies{\sf }$S.P= M.P —D

$\large\implies{\sf }$140—42 = Rs 98

Then Loss = C.P — S.P = 100—98 = Rs 2

So, Loss%

$\large{\sf {\frac{</strong><strong>Loss</strong><strong>}{</strong><strong>C</strong><strong>.</strong><strong>P</strong><strong>}}}$ X 100

$\large{\sf {\frac{</strong><strong>2</strong><strong>}{</strong><strong>1</strong><strong>0</strong><strong>0</strong><strong>}}}$ X 100 = 2%