Source: GMAT Prep The main ingredient in a certain prescription drug capsule costs $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams) A. $0.30 B. $0.83 C. $1.20 D. $3.00 E. $3.33 The OA is A

600 milligrams / 1 kilogram = 600 / 1000000 = 6/10000 = .0006 And .0006 x $500 = $0.30, which is answer choice (A). Or you could set up a proportion: $500/1000000 = $x / 600 300000 = 1000000x 3 = 10x 3/10 = x, which is .3, or $0.30 Pro-Tip: Because of the number of 0's (decimal places) involved, it means there is a high probability of a trap answer that is just 1 decimal place away from the right answer. Here, it's answer choices (A) and (D) that are 1 decimal place away from each other. So you could try plugging one of those ($0.30 or $3.00) into the parameters of the problem....if it satisfies all the conditions of the problem, then it's the answer! And if not, then pick the other one!

BTGmoderatorLU wrote: ↑Sat Jan 25, 2020 11:58 am Source: GMAT Prep The main ingredient in a certain prescription drug capsule costs $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams) A. $0.30 B. $0.83 C. $1.20 D. $3.00 E. $3.33 The OA is A We can use a proportion to solve this problem. Letting x be the cost, in dollars, per 600-mg capsule, we have: $500/1 kg = $x/600 mg Before we can cross multiply, we need the denominators to have the same units. Since we are given 1 kg = 10^6 mg, we have: $500/10^6 mg = x/600 mg 500/10^6 = x/600 (10^6)(x) = 500(600) 1,000,000(x) = 300,000 10x = 3 x = 0.3 Thus, the cost is $0.30 per capsule. Answer: A

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