Multiple choice

A customer asks for the production of x number of goods. The company produces y number of goods daily. Out of which z$\%$ are unfit for sale. The order will be completed in.

  1. $\displaystyle\frac{x}{100y(1-z)}$days
  2. $\displaystyle\frac{100yz}{x}$days
  3. $\displaystyle\frac{100x}{y(100-z)}$days
  4. $\displaystyle\frac{100}{y(z-1)}$days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The company produces y goods daily, but z% are unfit, so effective production is y * (1 - z/100) = y * (100 - z) / 100. To produce x goods, the time required is x / (effective production) = x / (y * (100 - z) / 100) = 100x / (y * (100 - z)).

AI explanation

The daily usable production is y minus z percent of y, which simplifies to y multiplied by (100 minus z) divided by 100. The total usable goods required to fulfill the order of x items is x. The time to complete the order is the total demand divided by the daily usable production, which equals x divided by (y(100 minus z)/100). Simplifying this fraction gives the total time as 100x divided by y(100 minus z) days.

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