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30 Sep 2024, 01:30
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Difficulty:
35%
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Question Stats:
75% (02:06) correct
25%
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wrong
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A sports goods manufacturing company sells the same fixed number of cricket balls for every cricket bat sold across all its retail outlets. What is the ratio of number of cricket balls sold by outlet X to the number of balls sold by outlet Y?
(1) Outlet Y sold 500 balls more than the number of balls sold by outlet X.
(2) Outlet Y sold 100 bats more than the number of bats sold by outlet X.
(1) Outlet Y sold 500 balls more than the number of balls sold by outlet X.
(2) Outlet Y sold 100 bats more than the number of bats sold by outlet X.
This is a Data Sufficiency Butler Question
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01 Oct 2024, 00:21
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A sports goods manufacturing company sells the same fixed number of cricket balls for every cricket bat sold across all its retail outlets. What is the ratio of number of cricket balls sold by outlet X to the number of balls sold by outlet Y?
(1) Outlet Y sold 500 balls more than the number of balls sold by outlet X.
(2) Outlet Y sold 100 bats more than the number of bats sold by outlet X.
Let's Assume,
Balls sold by outlet X=x, then, Balls sold by outlet Y=x+500.
Since, the value of x could be anything, statement (1), is insufficient to answer the question.
Now,
Let's Assume,
Bats sold by outlet X=x, then, Bats sold by outlet Y=x+100.
Since, the value of x could be anything, statement (2), is insufficient to answer the question.
Now, Let's consider, both the statement and the clause, sells the same fixed number of cricket balls for every cricket bat sold.
Then, x+x+500=x+x+100, this even does not gives us any specific value of x.
So, Answer: E.
(1) Outlet Y sold 500 balls more than the number of balls sold by outlet X.
(2) Outlet Y sold 100 bats more than the number of bats sold by outlet X.
Let's Assume,
Balls sold by outlet X=x, then, Balls sold by outlet Y=x+500.
Since, the value of x could be anything, statement (1), is insufficient to answer the question.
Now,
Let's Assume,
Bats sold by outlet X=x, then, Bats sold by outlet Y=x+100.
Since, the value of x could be anything, statement (2), is insufficient to answer the question.
Now, Let's consider, both the statement and the clause, sells the same fixed number of cricket balls for every cricket bat sold.
Then, x+x+500=x+x+100, this even does not gives us any specific value of x.
So, Answer: E.
13 Oct 2024, 08:08
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| balls | bats | |
| X | a | b |
| Y | c | d |
we want to find a/c
we also know that a/b = c/d (the ratio of balls to bats is always the same)
(1) clearly not sufficient c = a + 500 NOT SUFFICIENT
(2) clearly not sufficient d = b +100 NOT SUFFICIENT
(1)(2)
| balls | bats | |
| X | a | b |
| Y | a+500 | b+100 |
we can write
a/b = c/d
as
a/b = ( a + 500)/ ( b +100)
rearranging the terms we get
ab+100a = ab + 500b
a/b = 5/1
we found the ratio to which the sport center sells the ball to bats to each store. but we don't have no way of calculating the total number of bats and balls.
NOT SUFFICIENT
E
