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
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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