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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: 25 women can complete the work in 20 days while 30 men can complete the work in 15 days. If 10 women and 5 men started the work for 6 days after that 2 men and 4 women left the work. In what time Remaining work gets completed? Quantity II: 12 days

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: 25 women can complete the work in 20 days while 30 men can complete the work in 15 days. If 10 women and 5 men started the work for 6 days after that 2 men and 4 women left the work. In what time Remaining work gets completed? Quantity II: 12 days Correct Answer <span lang="EN-US" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity I &gt; Quantity II</span>

1 women 1 day's work = 1/(25 × 20)

1 men 1 day's work = 1/(30 × 15)

10 women 6 days work = 10/(25 × 20) × 6 = 3/25

5 men 6 days work = 5/(30 × 15) × 6 = 1/15

Total work done in 6 days = 3/25 + 1/15 = 4/15

Remaining work = 1 – 4/15 = 11/15

3 men and 6 women 1 days work = 6/(25 × 20) + 3/(30 × 15) = 3/250 + 1/150 = 7/375

Time taken by 3men and 6 women to complete remaining work =

= 11/15 × 375/7 = 275/7 days

Quantity: 12 days

So, we can observe Quantity I >Quantity II.

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