Question

Rohan buys an spends for Rs.5500and spends 1000Rs.its repairs.it has sells tha scooter for Rs.7800.find his gain percentage.​

Answer 1

Correct Question :

Rohan buys a Scooter for Rs. 5500 and spends Rs. 1000 on its repairs. He Sells Scooter for Rs. 7800. Find his Gain Percentage.

$\rule{100}{2}$

AnswEr :

$\bullet\:\textsf{CP = Original + Repair = Rs.(5500 + 1000)}\\ \qquad \qquad \qquad\!\quad\qquad\qquad \textsf{= Rs. 6500}\\\\\bullet\:\textsf{SP = Rs. 7800}\\\\\bullet\:\textsf{Gain Percentage = ?}$

• Gain Percentage on Scooter Is :

$:\implies\sf Gain\% = \dfrac{Gain}{CP} \times 100\\\\\\:\implies\sf Gain\% = \dfrac{(SP - CP)}{CP} \times 100\\\\\\:\implies\sf Gain\% = \dfrac{(Rs.\:7800 - Rs. \:6500)}{Rs. \:65 \cancel{00}} \times\cancel{100}\\\\\\:\implies\sf Gain\% = \cancel\dfrac{Rs.\:1300}{Rs.\:65}\\\\\\:\implies \boxed{\sf Gain\% = 20\%}$

⠀

∴ Rohan will gain 20 percent on Scooter.

$\rule{200}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

Answer 2

Answer:

${\boxed{\bold\green{Gain\:\:=20\%}}}$

Step-by-step explanation:

$\bf{Given}\begin{cases}\sf{Cost\:price=Rs.5500}\\\sf{Repairing\:cost=Rs.1000}\\\sf{Selling\:price=Rs.7800}\end{cases}$

$\tt Total\:cost\:price=C.P. + Repairing\:cost \\\rightarrow\tt Total\:C.P = Rs.(5500+1000) \\\rightarrow\sf Total\:C.P.= Rs.6500$

_________________________

$\tt S.P. = Rs.7800$

________________________

$\tt Gain = S.P. - C.P. \\\rightarrow\tt Gain = Rs.(7800-6500) \\\rightarrow\tt Gain = Rs.1300$

$\tt Gain\:percantage = \frac{Gain\: \times 100}{C.P.} \\\rightarrow\tt Gain\:percentage = \frac{1300\times 100}{6500}\\\rightarrow\tt Gain = \frac{130000}{6500}$

$\rightarrow{\boxed{\tt{ Gain = 20\% }}}$

$\therefore\bold{\underline{Gain\:is=20\%}}$