X is \(\frac{8}{5}\) times as efficient as Y. If X can complete \(\frac{4}{5}\)th of the work in 24 days. What fraction of the same work would remain incomplete if Y alone works on it for 32 days only?
Answer & explanation
Correct answer: option 1
X × \(\frac{4}{5}\) = 24
X = 30 days (X will take 30 days to complete the work)
X : Y
Efficiency ⇒ 8 : 5
No. of days ⇒ 5 : 8
↓ ↓
×6 ×6
↓ ↓
30 48
Y worked for 32 days = \(\frac{32}{48}\) = \(\frac{2}{3}\)rd work is done.
Incomplete work = 1 - \(\frac{2}{3}\) = \(\frac{1}{3}\)
Percentage of incomplete work = \(\frac{1}{3}\) × 100 = 33.33%