Fractions/Ratios/Decimals, Percents and Interest Problems, Word Problems

[swerve]

A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold \(1/5\) of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?

A. \(4/15\)
B. \(4/20\)
C. \(3/4\)
D. \(11/20\)
E. \(9/20\)

The OA is D

Source: Economist GMAT

[Scott@TargetTestPrep]

A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold \(1/5\) of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?

A. \(4/15\)
B. \(4/20\)
C. \(3/4\)
D. \(11/20\)
E. \(9/20\)

The OA is D

Solution:

We can let the quota for last year be 100. Thus, the quota for this year is 75. Since he already sold 1/5 x 100 = 20 cars this year, he still has to sell 75 - 20 = 55 cars to reach this year’s quota. Therefore, the 55 cars he still has to sell is 55/100 = 11/20 of last year’s quota.

Answer: D