Quentin deposited an amount of money into eac… | GMAT Sprint

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PS · Problem Solving

705-805

percent

Quentin deposited an amount of money into each of two new investments, X and Y. Investment X pays $x\%$ simple annual interest, and investment Y pays $y\%$ simple annual interest. After 1 year, the total interest earned was $7.6\%$ of the total investment. If $x$ and $y$ are consecutive positive integers, in that order, what fraction of the total amount was deposited into investment X?

Correct answer marked below

\frac{1}{5}

\frac{1}{3}

\frac{2}{5}

Correct

\frac{3}{5}

\frac{2}{3}

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Explanation

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Official Explanation

Official

Since

x

and

y

are consecutive positive integers, in that order, and the total interest earned was

7.6\%

of the total investment, then

x=7\%

and

y=8\%

.

Let

a

and

b

be the amounts invested in X and Y, respectively. The interest equation is:

\frac{7}{100} \cdot a + \frac{8}{100} \cdot b = \frac{7.6}{100}(a + b)

…

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What this question tests

Your ability to apply GMAT math concepts to solve a multi-step problem quickly and accurately. At the 705-805 level, accuracy and speed both matter.

Overcomplicating the setup — most GMAT problems reward a direct, organized approach over brute calculation.