Data Sufficiency Question 42
Directions : Each of the following questions consists of a question and two statements I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and.
(BOB Junior Management
Grade/Scale-I Exam. 18.04.2015)
Mark answer (1) if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Mark answer (2) if the data in both the statements I and II together are not sufficient to answer the question.
Mark answer (3) if the data in bith the statements I and II together are neccessary to answer the question.
Mark answer (4) 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.
Mark answer (5) 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.
- An item was sold after giving a certain discount on the marked price. What was the percentage of discount given? I. The profit earned by after giving the discount is $44 %$. Had the percentage of discount been doubled the profit earned would have been $28 %$.
II. The cost price of the item is Rs. 400.
Show Answer
Correct Answer: 42. (3)
Solution: 42. (3) From both statements,
If the marked price be Rs. $x$ and discount be $y %$, then
$x \times(100-y) %=\frac{400 \times 144}{100}$
$\Rightarrow x(100-y)=576 \ldots . .(\mathrm{i})$
Again, $x(100-2 y)$
$=400 \times 128 \ldots .$. (ii)
On dividing equation (ii) by (i),
$\frac{100-2 y}{100-y}=\frac{400 \times 128}{576}$
Hence, value of $y$ can be determined.
BETA
