Data Sufficiency Question 63
Directions : Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements sufficient to answer the question. Read both the statements and
(Bank of Maharashtra PO Exam, 26.10.2016)
Give answer (1) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give answer (2) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give answer (3) if the data in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (4) if the data in both the statements I and II are not sufficient to answer the question.
Give answer (5) if the data in both the statements I and II together are necessary to answer the question.
- What is the cost price of the table?
I. The profit earned when the table is sold for Rs. 692 is double the loss incurred when the same table is sold for Rs. 464.
II. The marked price of the table is $40 %$ more than the cost price. If the discount of $10 %$ is given on the marked price, profit earned is Rs. 140.40 .
Show Answer
Correct Answer: 63. (3)
Solution: 63. (3) Let the C.P. of the table be Rs. $x$.
From statement I,
$692-x=2(x-464)$
$\Rightarrow 692-x=2 x-928$
$\Rightarrow 2 x+x=928+692=1620$
$\Rightarrow 3 x=1620$
$\Rightarrow x=\frac{1620}{3}=$ Rs. 540
From statement II,
C.P. of article $=$ Rs. $x$.
$\therefore$ Its marked price
$=\frac{140 x}{100}=$ Rs. $\frac{14 x}{10}$
$\therefore \frac{14 x}{10} \times \frac{90}{100}-x=140.40$
$\Rightarrow \frac{126 x}{100}-x=140.4$
$\Rightarrow \frac{126 x-100 x}{100}=140.4$
$\Rightarrow 26 x=140.4 \times 100=14040$
$\Rightarrow x=\frac{14040}{26}=$ Rs. 540
BETA
