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25 Feb 2025, 01:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:12) correct
22%
(01:21)
wrong
based on 76
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The regular price for canned tomato sauce was reduced during a sale. How much money could one have saved by purchasing a dozen cans of tomato sauce at the reduced price rather than at the regular price?
(1) After a 20% reduction in the regular price of canned tomato sauce the price of 10 cans was $6.00
(2) The price of canned tomato sauce was reduced 20%
(1) After a 20% reduction in the regular price of canned tomato sauce the price of 10 cans was $6.00
(2) The price of canned tomato sauce was reduced 20%
25 Feb 2025, 01:44
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$ savings for dozen cans= ?
We need $ saving for 1 can or direct $ saving for 12 cans to solve this
Statement 1
SP of 10 can = $6
SP of 1 can = $0.6
Discount = 20%
MP of 1 can = $0.75
Savings for 1 can = $0.15
Savings for 12 can = $0.15 * 12
Sufficient
Statement 2
Just gives Discount = 20% with no $ value
Insufficient
We need $ saving for 1 can or direct $ saving for 12 cans to solve this
Statement 1
SP of 10 can = $6
SP of 1 can = $0.6
Discount = 20%
MP of 1 can = $0.75
Savings for 1 can = $0.15
Savings for 12 can = $0.15 * 12
Sufficient
Statement 2
Just gives Discount = 20% with no $ value
Insufficient
Bunuel
25 Feb 2025, 08:59
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We need to determine the amount saved by purchasing 12 cans at the reduced price rather than at the regular price.
Statement (1):
"After a 20% reduction in the regular price of canned tomato sauce, the price of 10 cans was $6.00."
- The price of 10 cans after the reduction is $6.00.
- Price per can after the reduction = $6.00 / 10 = $0.60.
- Since this is after a 20% reduction, let the regular price per can be x.
- 80% of x (after a 20% reduction) is 0.60, so:
0.8x = 0.60
x = 0.60 / 0.8 = 0.75 (regular price per can).
- Savings per can = 0.75 - 0.60 = $0.15.
- Savings for 12 cans = 12 × 0.15 = $1.80.
Statement (1) alone is sufficient.
Statement (2):
"The price of canned tomato sauce was reduced 20%."
- This tells us the percentage reduction but does not provide any actual price values.
- Without knowing the original or reduced price, we cannot calculate the amount saved.
Statement (2) alone is insufficient.
Final Answer: (A) Statement (1) alone is sufficient, but Statement (2) alone is not.
Statement (1):
"After a 20% reduction in the regular price of canned tomato sauce, the price of 10 cans was $6.00."
- The price of 10 cans after the reduction is $6.00.
- Price per can after the reduction = $6.00 / 10 = $0.60.
- Since this is after a 20% reduction, let the regular price per can be x.
- 80% of x (after a 20% reduction) is 0.60, so:
0.8x = 0.60
x = 0.60 / 0.8 = 0.75 (regular price per can).
- Savings per can = 0.75 - 0.60 = $0.15.
- Savings for 12 cans = 12 × 0.15 = $1.80.
Statement (1) alone is sufficient.
Statement (2):
"The price of canned tomato sauce was reduced 20%."
- This tells us the percentage reduction but does not provide any actual price values.
- Without knowing the original or reduced price, we cannot calculate the amount saved.
Statement (2) alone is insufficient.
Final Answer: (A) Statement (1) alone is sufficient, but Statement (2) alone is not.
