Question

By selling a bicycle for RS 819 , Vinay loses 9 %. At what price should he sell it to make a profit of 5 %​

Answer 1

Given

• By selling a bicycle for RS 819 , Vinay loses 9 %. At what price should he sell it to make a profit of 5 %

To find

• The cost price
• The selling price at P 5%

Solution

SP → 819

Loss percent → 9%

★ Formula used

• CP → SP × 100 / 100 - loss %
• SP → CP × 100 + profit % / 100

Now , let's solve the sum

⇒ 819 × 100 / 100 - 9 %

⇒ 819 × 100 / 91

⇒ 9 × 100

⇒ 900 rs .

Here we got , CP → 900 rs

As we know ,

★ SP → CP × 100 + profit % / 100

⇒ 900 × 100 + 5 % / 100

⇒ 900 × 105 / 100

⇒ 9 × 105

⇒ 945 rs .

This is the price he should sell it to make a profit of 5 % .

Answer 2

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Question :- \: \star}}}}}$

By selling a bicycle for RS 819 , Vinay loses 9 %. At what price should he sell it to make a profit of 5 %.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$\underline{\boxed{\textsf{P = {\textbf{945rs}}}}} \qquad\qquad \bigg\lgroup\bold{At\ price \ he \ sell\ to \ get \ profit \ of \ 5 percent} \bigg\rgroup$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

➹ Selling price = 819 Rs.

➹ Lose percent = 9 %

$\Large{\underline{\underline{\bf{Find:-}}}}$

✦ Price at which he sell and get profit of 8 percent .

$\Large{\underline{\underline{\bf{Solution:-}}}}$

By using formula :-

➹ CP → SP × 100 / 100 - loss %

Substituting the values in the required formula :-

$\Large{\boxed{\bf{\star \: CP = SP × 100 / 100 - loss percent \: \star}}}$

↠819 × 100 / 100 - 9 %

↠ 819 × 100 / 91

↠9 × 100

$\bf{\longmapsto CP = 900 \: rs }$

Now , we find selling price

➹SP → CP × 100 + profit % / 100

On putting the given values in the formula, we get

$\Large{\boxed{\bf{\star \: SP = CP × 100 + profit percent / 100</p><p> \: \star}}}$

As according to the given :-

$\sf{\longmapsto v = 0 + 3 \times 2}$

$\sf{\longmapsto v = 0 + 6 }$

↠ 900 × 100 + 5 % / 100

↠ 900 × 105 / 100

↠ 9 × 105

$\bf{\longmapsto 945 \: rs = SP }$

Hence ,

$\underline{\boxed{\textsf{P = {\textbf{945rs}}}}} \qquad\qquad \bigg\lgroup\bold{At\ price \ he \ sell\ to \ get \ profit \ of \ 5 percent} \bigg\rgroup$