The regular price per can of a certain brand of soda is $0.4

Question

The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?

A. $16.32
B. $18.00
C. $21.60
D. $24.48
E. $28.80

regular price is $0.40
15% discount ; .85 * .4 *24*3 = 24.48

option D is correct

A. $16.32
B. $18.00
C. $21.60
D. $24.48
E. $28.80

Bunuel · Accepted Answer

The discounted price of one can of soda is (0.85)($0.40), or $0.34. Therefore, the price of 72 cans of soda at the discounted price would be (72)($0.34), or $24.48.

Answer: D.

PareshGmat · Answer

Total price without discount = 0.4 * 72 = 28.8

15% Discount  = 28.8 * \frac{85}{100}

= 24.48

Answer = D

JeffTargetTestPrep · Answer

The price per can when purchased in a 24-can case is 0.4 x 0.85 = $0.34 per can.

Thus, 72 cans would cost 0.34 x 72 = $24.48.

Answer: D

Archit3110 · Answer

The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?

A. $16.32
B. $18.00
C. $21.60
D. $24.48
E. $28.80

regular price is $0.40
15% discount ; .85 * .4 *24*3 = 24.48

option D is correct

A. $16.32
B. $18.00
C. $21.60
D. $24.48
E. $28.80

regular price is $0.40
15% discount ; .85 * .4 *24*3 = 24.48

option D is correct

Sa800 · Answer

you can do that to the whole thing?

egmat · Answer

Hi Sa800,

Yes, you absolutely can, and it's worth seeing  why  it's not a shortcut cheat but the exact same math.

You're looking at PareshGmat's line: instead of discounting each can first, he took the full undiscounted total ( 0.40 × 72 = 28.80 ) and then knocked off  15%  from the whole thing ( 28.80 × 0.85 = 24.48 ).

Why both paths land on the same number:  multiplication doesn't care about the order you group things in. Bunuel's per-can path is:

- ( 0.40 × 0.85 ) ×  72  - discount each can, then multiply by  72

Paresh's whole-total path is:

- ( 0.40 × 72 ) ×  0.85  - find the total, then discount it

Both are just  0.40 × 0.85 × 72  with the three numbers multiplied in a different order. Same three factors, same product -  $24.48  either way.

The intuition:  applying " 85%  of" to every can and then adding them up gives you  85%  of the whole pile. Taking  15%  off each item or  15%  off the combined bill is the same discount - nothing changes about the fraction being kept.

Quick check to lock it in:  buy just  2  cans.

- Per can:  0.40 × 0.85 = 0.34 , then  0.34 × 2 = 0.68 
- Whole total:  0.40 × 2 = 0.80 , then  0.80 × 0.85 = 0.68

Same answer. So whenever a single percentage applies uniformly to every unit, discount per-unit or discount the total - pick whichever keeps the arithmetic clean.

Answer: D

The regular price per can of a certain brand of soda is $0.4

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The regular price per can of a certain brand of soda is $0.4

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