Question

the price of a cycle is rupees 800 . It is increase by 18% The new sale price is​

Answer 1

Given : The Price of Cycle is Rs.800 and is increased by 18 % .

To Find : Find the New Sale Price

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SolutioN :

$\dag$ Formula Used :

• ${\pink{\underbrace{\underline{\color{darkblue}{\sf{ Sale \; Price = \bigg\lgroup \dfrac{ Old \; Price + Increase \; \% }{ Old \; Price } \bigg\rgroup \times 100 }}}}}}$

$\dag$ Calculating the Sale Price :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Sale \; Price = \bigg\lgroup \dfrac{ Old \; Price + Increase \; \% }{ Old \; Price } \bigg\rgroup \times 100 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Sale \; Price = \bigg\lgroup \dfrac{ 800 + 18 }{ 800 } \bigg\rgroup \times 100 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Sale \; Price = \bigg\lgroup \dfrac{ 818 }{ 800 } \bigg\rgroup \times 100 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Sale \; Price = \dfrac{81800}{800} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Sale \; Price = \cancel\dfrac{81800}{800} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Sale \; Price = Rs. \; 102.25 }}}}} \; {\red{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

$\therefore \;$ New Sale Price is Rs.102.25 .

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Answer 2

$\huge\red{A}\pink{N}\orange{S} \green{W}\blue{E}\gray{R}$

Let the cost price of the bicycle be " Rs X

Profit = 8%

=x* 8/100

= 2x/25

Selling price = cost price + p

rofit

= x + 2x/25

= 25x + 2x/25

= 27x/25

So the selling price is " Rs 27x/25"

Of it had been sold for Rs 75 more the gain would have been 14 %

Selling price = 27x/25 +75

But

Profit = 14%

= x x 14/100

= 7x/50

Selling price = cost price + profit

= x + 7x/50

= 57x/50

So

27x/25 + 75=57x/50

>> 57x/50-27x/25 = 75

>> 57x-54x/50 = 75

>> 3x/50 = 75

>> 3x = 75 x 50

>> x = 75 × 50/3

>> x = 25 x 50

>> x = 1250

So the cost price of the bicycle is " Rs 1250"