Data Sufficiency Question 55
- What are the maximum runs scored by Rahul in an innings, if the average runs scored by a him in 42 innings are 40 ?
Statement-I : The difference between Rahul’s maximum and minimum scores in an innings is 100.
Statement-II : Suppose 2 innings of maximum and minimum scores are not taken into consideration, then the average score of remaining 40 inning is 38.
(1) The data in statements I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(2) The data in statements II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
(3) Either Statement I or Statement II alone is sufficient to answer the question
(4) The data in both the statements I and II are not sufficient to answer the question
(5) The data in both the statements I and II together are necessary to answer the question
Show Answer
Correct Answer: 55. (1)
Solution: 55. (1) From statement I, Let the C.P. of article be Rs. 100 and its marked price be Rs. $x$.
$\therefore x \times \frac{84}{100}=105$
$\Rightarrow x=\frac{105 \times 100}{84}=$ Rs. 125
Hence, marked price is $25 %$ above the cost price.