Question

Ram sells a book to hari at profit of 25% and hari sells it to Gopal at a profit of 20%. if Gopal pays 300 for it,what did A pay for the same? please solution the questions. ​

Answer 1

Answer:

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

⇒(

200

243−240

)x=105

⇒x=

3

105×200

=Rs.7000.

Answer 2

Answer:

$\sf\red{AnsWER}$

Cost of book for A is 200 $.

A sells book to B 25% profit = ie 50$

So, B’s cost is 250 $.

B sells to C at loss of 4% =10$

ie 250–10=240$ paid by C.

But , the method used here is simple… without using equation for simply explaining how this works.

percentages are calculated on 100.

so , if there is profit of eg. 10% on $100 then $10 is the answer. Okay.

Now here, A sells to B at 25% profit =125%

(100 +25)

B sells to C at 4% loss=96%(100–4)

So we know C is paying to B 240$.

B is selling lower than cost.(96% of cost)

240$ was for 96% of cost.. So 100% would be 250$ is actual cost of B.

Now as we know A has sold to B at 25% profit

100+25%=125%

125% is equal to 250$, than 100% would be 200$.

So cost of book for A was 200$.

in equation you can use this

selling price = cost price(total percentage + profit percentage)

selling price = cost price (total percentage-loss percentage)

So,

going from last sale to first one..

last sale was 240$ at 4% loss

240$=cost price(100–4)

240$=cost pricr(96)

240$/96%= cost price

so B paid $250 to A for that book.

A has sold at 25% profit

selling price = cost price(total percentage + profit percentage)

250$=cost price(100+25)

250$=cost price(125%)

=250$/125%

=200$