Question

an object is sold at profit of 10 ^. what is tge ratio of its cost price to sale price​

Answer 1

Answer:

10 : 11

step by step explanation:

let the C.P be x

profit = 10%

So, therefore S.P = C.P (100 + profit % / 100)

= x (100 + 10/100)

= 11x /10

So, therefore Ratio = x /11x/10

= x × 10 /11x

= 10:11

hope it helps you

Answer 2

Correct Question :

• An object is sold at profit of 10%. What is the ratio of its cost price to selling price?

★ Given :

• An object is sold at a profit of 10%.

★ To Find :

• What is the ratio of its Cost Price to Selling Price.

★Some knowledge :

• Cost Price = CP
• Selling Price = SP
• Profit = P
• Profit is the another name of Gain.
• Profit or loss occur on Cost Price.

Solution :

Let the CP be Rs x.

• $\bigstar \boxed{\bf{ \red{P = 10\% \: of \: CP} }} \bigstar$

$: \implies \sf{P = 10\% \: of \: CP}$

$: \implies \sf{P = 10\% \: of \: Rs \: x}$

$: \implies \sf{P =Rs \bigg(x \times \dfrac{1\cancel{0}}{10 \cancel{0}} \bigg)}$

$: \implies \underline{\tt{P =Rs \: \dfrac{x}{10} }}$

• $\bigstar \boxed{\bf{ \red{SP = CP+ P} }} \bigstar$

$: \implies\sf{SP = CP+ P}$

$: \implies\sf{SP = Rs \: \bigg (x+ \dfrac{x}{10} \bigg) }$

$: \implies\sf{SP = Rs \: \bigg (\dfrac{10x+ x}{10} \bigg)}$

$: \implies\underline{\tt{SP = Rs \: \bigg (\dfrac{11x}{10} \bigg)}}$

◆Ratio of its Cost Price to Selling price :

$: \longrightarrow \sf{\dfrac{CP}{SP}}$

$: \longrightarrow \sf{\dfrac{x}{ \frac{11x}{10} }}$

$: \longrightarrow \sf {x \div \dfrac{11x}{10} }$

$: \longrightarrow \sf {\cancel{x} \times \dfrac{10}{ 11\cancel{x}} }$

$: \longrightarrow{ \sf{ \dfrac{10}{11} }}$

$:\longrightarrow{ \huge{ \boxed{ \pink{ \bf{10 :11 }}}}}$

$\huge{\therefore}$ The ratio of its Cost Price to Selling Price is 10:11 .