Question

Peter purchases a bicycle for Rs. 25000 and sells it at
a profit of 25%. What is the selling price of the
bicycle?
Rs.32250
Rs. 36250
Rs.34550
Rs. 31250​

Answer 1

Given :-

• Peter purchases a bicycle for Rs. 25000 and sells it at a profit of 25%.

To find :-

• Selling price of bicycle

Solution :-

• Cost price of bicycle = Rs.25000

• Profit on bicycle = 25%

As we know that

→ Profit % = Profit/C.P × 100

→ 25 = Profit/25000 × 100

→ 25 = Profit/250

→ Profit = 250 × 25

→ Profit = 6250

Hence,

• Profit = Rs.6250

Now,

→ Profit = Selling price - Cost price

→ 6250 = S.P - 25000

→ S.P = 6250 + 25000

→ S.P = Rs.31250

Therefore,

• Selling price of bicycle is Rs.31250

Answer 2

Answer:

⠀⠀ ⌬ Cost Price ( CP ) = Rs. 25000

⠀⠀ ⌬ Profit% = 25%

⠀⠀ ⌬ Selling Price ( SP ) = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf SP=CP\times(100+\sf Profit)\%\\\\\\:\implies\sf SP = 25000 \times (100 + 25)\%\\\\\\:\implies\sf SP = 25000 \times 125\%\\\\\\:\implies\sf SP = 25000 \times \dfrac{125}{100}\\\\\\:\implies\sf SP = 250 \times 125\\\\\\:\implies\underline{\boxed{\sf SP = Rs.\:31250}}$

⠀

$\therefore\:\underline{\textsf{Selling Price of bicycle is d) \textbf{Rs. 31,250}}}.$

$\rule{180}{1.5}$

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