medium · GMAT Quant

A boutique investment fund allocates its capital such that a percent is in equities, b percent is in fixed income, and the remaining c percent is in cash.

If the value of the equity portfolio increases by 20 percent, the fixed income portfolio decreases by 10 percent, and the cash remains unchanged, what percent of the new total fund value is represented by cash, in terms of a, b, and c?

  1. dfrac100c120a + 90b + 100c
  2. dfrac10c1.2a + 0.9b + c
  3. dfrac100c1.2a + 0.9b + c
  4. dfracca + b + c + 10
  5. dfrac100ca + b + c

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