Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the painting?

please tell ans step by step..

Answers

Answer 1

Answer:

$4800

Step-by-step explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=[tex]\frac{10}{100}\times x=\frac{10x}{100}[/tex]

If S.P increase by 240 then

Profit=15% of x=[tex]\frac{15x}{100}[/tex]

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=[tex]\frac{100x+10x}{100}=\frac{110}{100}x[/tex]

For second case

New S.P[tex]=x+\frac{15}{100}x[/tex]

         =[tex]\frac{115}{100}x[/tex]

According to question

[tex]240+S.P=\frac{115}{100}x[/tex]

[tex]240+\frac{110x}{100}=\frac{115}{100}x[/tex]

[tex]240=\frac{115}{100}x-\frac{110x}{100}[/tex]

[tex]240=\frac{115x-110x}{100}[/tex]

[tex]240=\frac{5}{100}x[/tex]

[tex]x=\frac{240\times 100}{5}[/tex]

[tex]x=4800[/tex]

Hence, the C.P of the painting=$4800


Related Questions

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Answers

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

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What is an Equation ?

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

To know more about Equation

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Check your math:

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Answers

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Answers

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Answers

Answer:

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Step by step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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