Multiple choice

If A can do ¼ of a work in 6 days and B can do 1/6 of the same work in 8 days, how much will A get if both work together and are paid Rs 360 in all? यदि A किसी कार्य के 1/4 भाग को 6 दिनों में कर सकता है और B उसी कार्य के 1/6 भाग को 8 दिनों में कर सकता है, तो A को कितनी राशि मिलेगा यदि दोनों एक साथ काम करते हैं और कुल 360 रुपये का भुगतान किया जाता है?

  1. 120

  2. 72

  3. 150

  4. 140

  5. None of these इनमे से कोई नही

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

A's rate: (1/4 work) in 6 days, so full work in 24 days. Rate = 1/24 per day. B's rate: (1/6 work) in 8 days, so full work in 48 days. Rate = 1/48 per day. Combined rate = 1/24 + 1/48 = 3/48 = 1/16 per day. They finish in 16 days. A's contribution = 16 days × (1/24) = 16/24 = 2/3 of work. A's share = (2/3) × 360 = Rs 240. Since 240 is not among options A-D, 'None of these' (E) is correct.