A clothing supplier stores 800 coats in a warehouse, of which 15 percent are full-length coats. If 500 of the short-length coats are removed form the warehouse, then what percent of the remaining coats are full length?
(a)5.62\%
(b)9.37\%
(c)35\%
(d)40\%
Answer
Answer (as printed): D
Explanation
Number of short-length coats before removal $$=(100-15) \% \text { of } 800=85 \% \text { of } 800=\left(\frac{85}{100} \times 800\right)=680 .$$ Number of short-length coats after removal $=(680-500)=180$. Total number of coats after removal $=(800-500)=300$. Number of full-length coats after removal $=(300-180)=120$. $$\text { ∴ } \text { Required percentage }=\left(\frac{120}{300} \times 100\right) \%=40 \% .$$
Explanation as extracted from the printed page; notation may be imperfect.