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.
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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.
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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:
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$