Question

Rohan losses 30% by selling a bicycle for ₹ 1547. Find the cost price of the bicycle.​

Answer 1

➤ Given :-

Selling price of the bicycle :- ₹1547

Loss percentage :- 30%

➤ To Find :-

Cost price of the bicycle

➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 - Loss \bf\%)} \times Selling \: price}}}}$

How to do :-

Here, we are given that Rohan sells his bicycle for ₹1547 and he lost 30% by selling his bicycle. We should find the cost price of the bicycle. To find the cost price of the bicycle, we should use the formula given above. If there was a profit obtained there, we should add 100 and profit percentage in the denominator of the formula.

➤ Solution :-

Cost price of bicycle :-

${\tt \longrightarrow \dfrac{100}{(100 - 30)} \times 1547}$

${\tt \longrightarrow \cancel \dfrac{100}{70} \times 1547 = \dfrac{10}{7} \times 1547}$

${\tt \longrightarrow \cancel \dfrac{100}{70} \times 1547 = \dfrac{10}{7} \times 1547}$

${\tt \longrightarrow \dfrac{10}{\cancel{7}} \times \cancel{1547} = \dfrac{10 \times 221}{1}}$

${\tt \longrightarrow \dfrac{10 \times 221}{1} = \dfrac{2210}{1}}$

${\tt \longrightarrow \cancel \dfrac{2210}{1} = \boxed{\tt Rs \: \: 2210}}$

$\Huge\therefore$ The cost price of the bicycle is ₹2210.

━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

Profit :- ${\boxed{\tt SP-CP}}$

Loss :- ${\boxed{\tt CP-SP}}$

Profit percentage :- ${\boxed{\tt\dfrac{Profit}{CP} \times 100}}$

Loss percentage :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$

Selling price :- ${\boxed{\tt\dfrac{(100 + Profit \bf\%)}{100} \times CP}}$

━━━━━━━━━━━━━━━━━━━━━━

More to know :-

• Cost price is the amount at which an item is bought.
• Selling price is the amount at which an item is sold.
• Profit is obtained when the selling price is greater than the cost price.
• Loss is obtained when the cost price is greater than the selling price.