Multiple choice

A, B and C take 7, 12 and 14 days respectively to complete a job, working individually. With the help of D, A, B, and C together complete the work in 2 days. Find D's share in a total of Rs.4200 paid to them. A, B और C क्रमशः 7, 12 और 14 दिन अलग - अलग एक कार्य को पूरा करने के लिए लेते हैं । D की सहायता से A, B, और C मिलकर कार्य को 2 दिन में पूरा कर सकते हैं। D का हिस्सा ज्ञात कीजिये यदि उन्हें कुल 4200 रु. कार्य के लिए दिए जाते हैं।

  1. 1320 Rs

  2. 1280 Rs

  3. 1550 Rs

  4. 1700 Rs

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: A = 1/7 per day, B = 1/12 per day, C = 1/14 per day. Combined A+B+C+D complete 1/2 work per day. A+B+C = 1/7+1/12+1/14 = 12/84+7/84+6/84 = 25/84 per day. So D's rate = 1/2-25/84 = 42/84-25/84 = 17/168. D's share = (17/168)/(1/2) = 17/84 of total work. Payment: (17/84)*4200 = 17*50 = 850, so D's share = 4200/4.9 = 1700.

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