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Difficulty:
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73% (01:41) correct
27%
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wrong
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The regular ticket price for a certain showing of a film was $60, but loyalty card holders paid a discounted price of only $40. If a total of 840 tickets were sold last Tuesday, what was the number of discounted tickets sold for the showing last Tuesday?
(1) Last Tuesday, the total sale of all tickets for the showing was $38,400.
(2) Last Tuesday, the ratio of the number of tickets sold at regular price to the number of tickets sold at discounted price was 2 to 5.
a) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d) EACH statement ALONE is sufficient.
e) Statement (1) and (2) TOGETHER are NOT sufficient.
(1) Last Tuesday, the total sale of all tickets for the showing was $38,400.
(2) Last Tuesday, the ratio of the number of tickets sold at regular price to the number of tickets sold at discounted price was 2 to 5.
a) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d) EACH statement ALONE is sufficient.
e) Statement (1) and (2) TOGETHER are NOT sufficient.
12 Apr 2025, 01:00
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bhargavhhhhhhhh
Regular price be R =$60
Discounted price be D =$40
A total of 840 tickets are sold.
We need to calculate: what was the number of discounted tickets sold for the showing last Tuesday?
Statement 1:
(1) Last Tuesday, the total sale of all tickets for the showing was $38,400.
Hence, average sale is 38400/840 = 320/7
using property of Mixtures and allegations
40 ———— 320/7 ————60
multiply by 7 throughout to remove fractions, we get
280 ———— 320————420
100 : 40
5:2 (ratio of discounted to regular ) .
Total discounted tickets sold = 840* (5/7) = 600 tickets . SUFFICIENT
Statement 2:
(2) Last Tuesday, the ratio of the number of tickets sold at regular price to the number of tickets sold at discounted price was 2 to 5.
here, the ratio is given directly . Which will give us
Total discounted tickets sold = 840* (5/7) = 600 tickets . SUFFICIENT
Option D
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