Math, asked by debasmitasaha, 1 year ago

Amar sold his flat at profit of 10 percent .If it had been sold for rupees 1,05,000 less then the profit would have been 7 percent .Find the cost of the flat

Answers

Answered by bhagyashreechowdhury
15

Given:

Amar sold his flat at a profit of 10%

If it had been sold for rupees 1,05,000 less then the profit would have been 7%

To find:

The cost of the flat

Solution:

Let say,

"S.P." → represents the selling price of the flat

"C.P." → represents the cost price of the flat

Since Amar sold his flat at a profit of 10%, so we can form an eq. as,

S.P. = \frac{100 + G}{100}\times C.P.

\implies S.P. =  \frac{100 + 10}{100}\times C.P.

\implies S.P. = \frac{110}{100}\times C.P.

\implies \bold{S.P. = 1.1 C.P.} ....... (i)

Also, if the flat would have been sold for Rs. 105000 less then he would have made a profit of 7%,

so we can form an eq. as,

S.P. - 105000= \frac{100 + 7}{100}\times C.P.

substituting from (i)

\implies 1.1C.P. - 105000 =  \frac{107}{100}\times C.P.

\implies 1.1C.P. - 105000 = 1.07 C.P.

\implies 1.1C.P. - 1.07 C.P. = 105000

\implies 0.03C.P. = 105000

\implies C.P. = \frac{105000}{0.03}

\implies \bold{C.P. = 3500000}

Thus, the cost of the flat is → Rs. 3500000.

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Answered by Chipdollie
5

Amar sold his flat at profit of 10 percent .If it had been sold for rupees 1,05,000 less then the profit would have been 7 percent .Find the cost of the flat

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