Data Sufficiency Question 69
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 is sufficient to answer the question. Read both the statements. (IBPS SO (Agriculture) Exam, 29.01.2017)
Give answer (1) if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Give answer (2) if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Give answer (3) if the data in statement I alone or in statement II alone is sufficient to answer the question.
Give answer (4) if the data in both the statements I and II is not sufficient to answer the question.
Give answer (5) if the data in both the statements I and II together is necessary to answer the question.
- What is the cost price of the article? (in Rs.) I. $8 %$ of the selling price of the article is equal to the $12 %$ of the cost price.
II. $15 %$ of the cost price of the article is Rs. 6 more than $9 %$ of the selling price of the article.
Show Answer
Correct Answer: 69. (5)
Solution: 69. (5) From statement I,
C.P. of article $=$ Rs. $x$
If S.P. of article be Rs. $y$, then
$ \begin{aligned} & \frac{8 \times y}{100}=\frac{12 x}{100} \\ & \Rightarrow \frac{x}{y}=\frac{8}{12}=\frac{2}{3} \\ & \Rightarrow y=\frac{3 x}{2} . \text { No result. } \end{aligned} $
From statements I and II,
$ \begin{aligned} & \frac{x \times 15}{100}-\frac{9 y}{100}=6 \\ & \Rightarrow 15 x-9 y=600 \\ & \Rightarrow 15 x-\frac{9 \times 3 x}{2}=600 \\ & \Rightarrow \frac{30 x-27 x}{2}=600 \\ & \Rightarrow \frac{3 x}{2}=600 \Rightarrow x=\frac{600 \times 2}{3} \\ & =\text { Rs. } 400 \end{aligned} $
BETA
