Question

A person sells a table at a profit of 10%. If he had bought it a 5% less cost and sold for rs 80 more, he would have gained 20%. Find the cost price of the table.​

Answer 1

Step-by-step explanation:

Let the C.P. of the table be Rs. x.

Then, S.P. of the table at 20% profit=

100

120

×Rs.x=Rs

5

6x

C.P. of the table at 10% loss =

100

90

×Rs.x=Rs

10

9x

S.P. of the table at 35% profit now=

100

135

×Rs

10

9x

Then according to the question

5

6x

+105=

100

135

×

10

9x

⇒

5

6x

+105=

200

243

x

⇒

200

243

x−

5

6

x=105

⇒(200243−240 )x=105

⇒x= 3

105×200

=Rs.7000.