Data Sufficiency Practice Test 3

ORIGINAL QUESTIONS FROM PREVIOUS YEAR PAPERS

Directions: In each of these, a question is followed by information in three statements. You have to study the question along with the information given in the statements and decide the information in which of the statement(s) is necessary and sufficient to answer the question.

Question : 5 of 35

Marks: +1, -0

What is the cost price of the article?
I. Selling price of the article is Rs 805 and no discount was offered.
II. Profit earned is 15%.
III. If a discount of 5% was offered, the profit would have been Rs 64.75.

Only I and III
Only II and III
Only I and either II or III
Other than those given as options

Validate

Solution:

By using Statement I:
Sale price of the article = Rs 805
Discount offered is zero.
By using Statement II:
Profit earned is 15%
By using Statement III:
Discount = 5%
Profit = Rs 64.75
Using Statements I and II:
Let cost price of the article = x
So, x + 15% of x = sale price

x+15/100x=805

115/100x=805

x=700

Cost price of an article = Rs 700
Using Statements I and III:
If no discount was offered, then the marked price = Selling price = Rs 805
Discount = 5%
Sale price

= 805 ={5×805}/100

= 805 − 40.25
= Rs 764.75
Profit = Rs 64.75
Cost price of an article = 764.75 − 64.75 = Rs 700
Hence, the solution can be derived by using Statement I only and either Statement II or Statement III.

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