Shopkeeper marked up a pen at certain percentage above its cost price If marked price of pen is Rs Y...........

Quantitative Aptitude(IBPS PO) Data Sufficiency

Shopkeeper marked up a pen at certain percentage above its cost price. If marked price of pen is Rs. Y, then find the value of Y?

Statement I – Y is marked up 80% above cost price.

Statement II – Cost price of the pen is Rs. X. If shopkeeper allows a discount of 4% on marked price, then he makes a profit of 8% on it. When shopkeeper sells the pen at marked price, then he makes a profit of Rs. 28.

Statement III – Cost price of the pen is Rs. P. If shopkeeper allows a discount of 22 (2/9)% on marked price, then he makes a profit of Rs. 70.

Statement (I) alone is sufficient answer the question

Statement (II) alone is sufficient to answer the question

All the three statements taken together are necessary to answer the question

Either statement (II) alone or statement (I) and (III) together sufficient to answer the question.

Statement (III) alone is sufficient to answer the question

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Explanation:

Given, marked price of pen = Rs. Y
From I – We can’t know the cost price of pen. So, we can’t determine marked up how much percentage above its cost price.
From II – Give, Cost price of pen = Rs. x
So, selling price of pen = Rs. 1.08x
And given, shopkeeper allows a discount of 4% on marked price
So, 96% = Rs. 1.08x
100% (marked price) = 1.125x Rs.
ATQ -
1.125x – x = 28
x = 224
Marked price of pen (Y) = 1.125 ×224=252 ????.
So, from II we can determine the value of Y.
From III – Given, cost price = Rs. P
And, selling price of pen = Rs. (P + 70)
ATQ –
Marked price of pen = 9(P+70)7
From I & III –
P ×180/100= 9(P+70)/7
12.6P – 9P = 630
3.6P = 630
P = 175
So, marked price of pen (Y) = 9(175+70)/7 =315 Rs.
So, either statement (II) alone or statement (I) and (III) together sufficient to answer the question.