Question

X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 4800. With the help of Z, they completed the work in 3 days. How much is Z’s share?

• A. ₹ 280
• B. ₹ 300
• C. ₹ 600
• D. ₹ 740

Answer 1

The correct option is C ₹ 600

Given,
X can do the work in 6 days.
So, X’s 1 day work =$\left(\frac{1}{6}\right)$

Hence,
X’s share for 1 day
= $\frac{1}{6}\times$ 4800
= ₹ 800

X’s share for 3 days
= 3 $\times$ 800
= ₹ 2400

Y can complete the work in 8 days.

So, Y’s 1 day work =$\frac{1}{8}$

Hence, Y’s 1 day share
= $\left(\frac{1}{8}\right)\times$ 4800
= ₹ 600

Y’s 3 days share
= ₹ 600 $\times$ 3
= ₹ 1800

(X + Y)’s 3 days share
= ₹ 2400 + ₹ 1800
= ₹ 4200

Hence, remaining money is Z’s share.

∴ Z’s share = ₹ 4800 – ₹ 4200 = ₹ 600