Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together and complete the work, and receive a total of ₹3,900 as payment for doing the work. What is the share of the person who received the maximum amount?

Options:

₹1,200

₹2,400

₹2,000

₹1,600

Correct Answer:

₹2,400

Explanation:

K1 = 4 days, K2 = 8 days, K3 = 32 days,

⇒ Total wages for working together = Rs. 3900

⇒ (8 + 4 + 1)x = 3900

⇒ 13x = 3900,

⇒ x = Rs. 300,

⇒ As K1 has highest efficiency, so he does the most work, therefore his share is = 8 x 300 = Rs. 2400.