Q37) X and Y purchased a pen at same price. X marked up the pen by 20% while Y by 30% and both give same discount percent. If the difference between profit % earned by Y and X is 9% and marked price of X is Rs 240, then find the discount percentage. A) 8% B) 10% C) 12% D) 15% E) None of these price of an article is Rs 'X'. Shopkeeper
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Answer:
10%
Step-by-step explanation:
Cp(X) Mp(X). (1)
5. 6
Cp(Y) Mp(Y).
10. 13
multiply (1) by 2 since cp is same for both
Cp(X) Mp(X).
10. 12
Now Mp(X) = 12 => 240
1 =>20
Cp(X) = Cp(Y) = 10 => 200
Also Mp(Y) = 13 => 260
Now diff in profit %
[Sp(Y) - Cp(Y)]/Cp(Y) - [Sp(X) - Cp(X)]/Cp(X) = 9/100
[Sp(Y) - 200]/200 - [Sp(X) - 200]/200 = 9/100
Sp(Y) - Sp(X) = 9*2 = 18. (2)
Now we know that discount is same (let discount be d%)
Sp(Y) = (100-d)*Mp(Y)/100 = (100-d)*260/100
Sp(X) = (100-d)*Mp(X)/100 = (100-d)*240/100
Putting this in (2)
(100-d)*260/100 - (100-d)*240/100 = 18
(100-d) * (26-24) = 180
100 - d = 90
d = 10%
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