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1351 - Data Sufficiency

Data Sufficiency MCQ No. : 50067

If $5,000 invested for one year at p percent simple annual interest yields $500, what amount must be invested at k percent simple annual interest for one year to yield the same number of dollars?

(1) k = 0.8p

(2) k = 8

Correct Answer: D

Explanation:

Arithmetic Interest problem

With simple annual interest, the formula to use is interest = principal x rate X time. It is given that S500 = $5,000 x p/100 x1(year), so p = 10 percent interest.

  • (1) If p is 10 percent, then k= 0.8/ is 0.08. Using the same formula, the time is again 1 year; the interest is the same amount; and the rate is 0.08, or 8 percent. Thus, S500 = principal x 0.08 x 1, or principal $6,250; SUFFICIENT.
  • (2) If k= 8, then the rate is 8 percent, and the same formula and procedure as above are employed again; SUFFICIENT.

The correct answer is D; each statement alone is sufficient.

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