a man sold sell his gods at 8 1/3% profit. find the cost price of article if it sold at rupees 65780
Answers
Step-by-step explanation:
We will learn how to calculate profit and profit percent.
If selling price is more than the cost price (S.P. > C.P.), there is a profit.
Profit = S.P. – C. P.
or, S. P. = P + C. P.
C.P. = S. P. – P
Profit percent → profit on $ 100 is called profit%
Profit% is always calculated on C.P
So, profit% = profit/C.P x 100
hope it helps
Let the C.P of the TV = x when x is in Rs.
∴ 25% profit = x×
100
25
=
4
x
and the S.P. =
x+
4
x
=
4
5x
.
In the second case, by the given condition, the profit is 25% of
4
5x
=
4
5x
×
100
25
=
16
5x
.
16
5x
−
4
x
=
16
x
∴ The difference in profits =
x×
100
5
+
100=
20
x
+
100.
Now 5% of the C.P. + Rs. 100=
So, by the given condition, we have
16
x
=
20
x
+ 100
⇒
16
x
−
20
x
= 100
⇒
80
x
=
100
⇒x=Rs.8000
So,the cost price of the TV = Rs. 8000
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