Question

Mohan sold car at a profit of 10%. if he sold the car for 51000 more the profit would have been 15%. find the cost price of the car.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

Mohan sold a car at a profit of 10%. if he sold the car for 51000 more the profit would have been 15%.

To Find:

find the cost price of the car.​

Solution:

Let the cost price of the car be x

$CP=x$

then it is said that the car was sold at a profit of 10% for which the equation will be

$SP=x+10\%x\\=1.1x$

Now it is said that if the car would have been sold for 51000 more the profit would have been 15%, so the new selling price will be,

$SP=1.1x+51000$

Now we will use the formula for profit per cent which is,

$profit\%=\frac{SP-CP}{CP} *100$

where,

          SP= selling price of the article

          CP= cost price of the article

( when there is a loss then SP-CP come in negative where the negative sign represents the loss)

Now using this formula in the new situation accordingly to the question we will have,

$\frac{1.1x+51000-x}{x} *100=15\\15x=100(0.1x+51000)\\15x=10x+5100000\\x=\frac{5100000}{5}\\x=1020000$

So, if the cost price would have been 1020000 then if the article is sold for more 51000 then the profit becomes from 10% to 15%

Hence, the cost price of the car is 1020000.