Question

Tanvi sold a bicycle for 6370 thus making a loss of 630. find the loss percent.​

Answer 1

Answer :-

The loss percentage is 10.97%.

Step-by-step explanation:

To Find :-

• The loss percentage of bicycle.

★ Solution

Given that,

• Selling price of bicycle = Rs. 6370
• Loss = Rs. 630

Finding, the cost price of bicycle first :-

We know,

Loss = Selling price - Cost price,

∴ Cost price = Selling price - Loss,

⇒ C.P. = S.P. - Loss

⇒ C.P. = Rs. 6370 - Rs. 630

⇒ Cost price = Rs. 5740

Now, According the question,

• The loss percentage :-

We know,

Loss percentage = Loss/Cost Price × 100

Therefore,

⇒ Loss/Cost Price × 100

⇒ 630/5740 × 100

⇒ 63/574 × 100

⇒ 6300/574

⇒ 10.97%

Hence,

The loss percentage of bicycle is 10.97%.

Answer 2

$\underline{\underline{\sf{\maltese\:Given\::-}}}$

$\qquad\sf{:\implies\:Selling \:price\: of \:bicycle\: =\: Rs\:.\: 6370}$

$\qquad\sf{:\implies\:Loss \:= \:Rs\:. \:630}$

$\underline{\underline{\sf{\maltese\:To\:Find\::-}}}$

$\qquad\sf{:\implies\:The\: loss \:percentage\: of\: bicycle\:.}$

$\underline{\underline{\sf{\maltese\:Formula\:Used\::-}}}$

$\color{fuchsia} {\qquad\sf{:\implies\:Cost \:price\: =\: Selling\: price \:-\: Loss}}$

$\color{aqua}{\qquad\sf{:\implies\:Loss\:Percentage\: =\: \dfrac{Loss}{Cost\:Price\:}\:\times\:100}}$

$\underline{\underline{\sf{\maltese\:Concept\::-}}}$

$\odot$ Here we have The Selling Price of the bicycle and The Loss of the bicycle. As we know that to find The Loss Percentage we need Cost Price So firstly we will find out The Cost Price By using this formula ( Cost Price = Selling Price - Loss )  

$\odot$ After finding The Cost price we will find out The Loss Percentage by substituting the values in the formula

( Loss Percentage = Loss/Cost Price × 100 ) .

$\underline{\underline{\sf{\maltese\:Solution\::-}}}$

$\bigstar$ Let us find out The Cost price of the bicycle by Subtracting The Loss from Selling price.

$\color{fuchsia} {\qquad\sf{:\implies\:Cost \:price\: =\: Selling\: price \:-\: Loss}}$

$\qquad\sf{:\implies\:Cost \:price\: =\: Rs.\:6370 \:-\: Rs.\:630}$

$\qquad\sf{:\implies\:Cost \:price\: =\: Rs.\:5740}$

• Hence The Cost Price of the Bicycle is Rs. 5740.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━⠀

$\bigstar$ Let us find out the lost percentage of the bicycle by dividing loss with The Cost Price and Multiplying by 100.

$\color{aqua}{\qquad\sf{:\implies\:Loss\:Percentage\: =\: \dfrac{Loss}{Cost\:Price\:}\:\times\:100}}$

$\qquad\sf{:\implies\:Loss\:Percentage\: =\: \dfrac{630}{5740\:}\:\times\:100}$

$\qquad\sf{:\implies\:Loss\:Percentage\: =\: \dfrac{63}{574\:}\:\times\:100}$

$\qquad\sf{:\implies\:Loss\:Percentage\: =\: \dfrac{6300}{574}}$

$\qquad\sf{:\implies\:Loss\:Percentage\: =\:10.97}$

• Hence The Loss Percentage of the bicycle is 10.97% .

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