A person buys an article at 25% discount and sells it at 5% above the marked price. What percent gain does he make?
25%
30%
40%
12%
Answers
Answer:
30
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given:-
A person buys an article at 25% discount and sells it at 5% above the marked price.
To find:-
What percent gain does he make?
Solution:-
Let the marked price of an article be Rs. X
gained discount on it=25%
Discount=25% of Marked Price
=>D=(25/100)×X
=>D=X/4
Discount=Rs. X/4
now the Selling price to the person =X-X/4
=>(4X-X)/4
=>3X/4
Now it becomes the Cost price =Rs.3X/4
Selling price of it=5% above Markprice
=>SP=X+5/100(X)
=>SP=Rs. X+(X/20)
=>SP=Rs. 21X/20
now we have ,CP=3X/4 and SP=21X/20
Here SP>CP
Gain=SP-CP
=>Gain=(21X/20)-(3X/4)
=>Gain=(21X-15X)/20
=>Gain=6X/20
=>Gain=3X/10
Now gain percentage=(Gain/CP)×100
=>G%=[(3X/10)×100]/(3X/4)
=>G%=30X/(3X/4)
=>G%=(30X×4)/3X
=>G%=10×4
=>G%=40
Answer:-