Question

Each contains a question of two statements I and II, giving certain data. Select the correct answer from $\left(1\right)$ to $\left(4\right)$ depending on the sufficiency of data given in the statements to answer each question.
$1$. If I alone is sufficient and II alone is not sufficient to answer the question.
$2$. If II alone is sufficient and I alone is not sufficient to answer the question.
$3$. If both I and II together are sufficient but neither statement alone is sufficient to answer the question.
$4$. If both I and II together are not sufficient to answer the question and additional data specific to the question are needed.
What is the cost of each pen?
I. The cost of $6$ pens and $5$ pencils is Rs. $30$.
II. If the cost of each pen and each pencil is reduced by $40\%$, then the cost of $12$ pens and $10$ pencils will be Rs. $36$.

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (D)

$4$

Cost of pen $=x$

Cost of pencil $=y$

$6x+5y=30$

$12\times 0.6x$ $+$ $10\times 0.6y$ $=36$

$7.2x$$+$$6y$$=36$

Both the facts are not sufficient to find out value of $x$ and $y$.

Hence, Option D is correct.