Question

10. Amar sold his flat at a profit of 10%. If it had been sold for 1,05,000 less, then the profit would
been 7%. Find the cost price of the flat.​

Answer 1

Answer:

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.S.P.=

100

100+G

×C.P.

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

100

100+10

×C.P.

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

100

110

×C.P.

\implies \bold{S.P. = 1.1 C.P.}⟹S.P.=1.1C.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.S.P.−105000=

100

100+7

×C.P.

substituting from (i)

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

100

107

×C.P.

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

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

\implies 0.03C.P. = 105000⟹0.03C.P.=105000

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

0.03

105000

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

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

Answer 2

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 = ( 100 + G )/100 x C.P

S.P = ( 100 + 10 )/100 x C.P

S.P = 1.1 C.P ----(1)

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 = 107/100 x C.P

substituting from (1) ,

1.1 C.P - 105000 = 1.07 C.P

0.03 C.P = 105000

C.P = 105000/0.03

C.P = 3500000

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