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Question : Z1 and Z2 together complete a work in 15 days. Z2 alone can complete the same work in 30 days. They took Rs. 2,000 to complete the work together. What will be the share of Z1?

Option 1: Rs. 1,500

Option 2: Rs. 2,000

Option 3: Rs. 1,000

Option 4: Rs. 500


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

Correct Answer: Rs. 1,000


Solution : Given: Z1 and Z2 together complete a work in 15 days.
Their 1 day's work = $\frac{1}{15}$
Z2 alone can complete the same work in 30 days.
Z2's 1 day's work = $\frac{1}{30}$
$\therefore$ Z1's 1 day's work = $\frac{1}{15}-\frac{1}{30}=\frac{1}{30}$
So, Z1 alone can complete the same work in 30 days.
Their work ratio = 30 : 30 = 1 : 1
The share of Z1 = $\frac{1}{2}\times 2000=$ Rs. 1,000.
Hence, the correct answer is Rs. 1,000.

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