Multiple choice

P, Q and R are employed to do a job in 15 days for a total remuneration of Rs.12000. P alone can do the work in 40 days and Q alone in 60 days. If all of them work together and complete the work on time what is R’s share of the remuneration. P, Q और R, 12,000 रूपये के कुल पारिश्रमिक में एक काम को 15 दिनों में करने के लिए लगाए गए। P अकेले 60 दिनों में और Q अकेले 40 दिन में कार्य कर सकता है। यदि वे सभी मिलकर कार्य करते हैं और समय पर कार्य पूरा करते हैं तो R का पारिश्रमिक में क्या हिस्सा है।

  1. रु./Rs. 4550

  2. रु./Rs.4250

  3. रु./Rs. 4000

  4. रु./Rs.4500

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

P's work rate = 1/40 per day, Q's rate = 1/60 per day. Combined P+Q rate = 1/40 + 1/60 = 5/120 = 1/24 per day. In 15 days, P+Q complete 15/24 = 5/8 of the work. Therefore R completes the remaining 3/8 of the work. R's share = (3/8) × ₹12,000 = ₹4,500. Verification: P's share = (15/40) × 12000 = ₹4500, Q's share = (15/60) × 12000 = ₹3000, Total = 4500 + 3000 + 4500 = ₹12000 ✓