Multiple choice

Sweety is 33.33% more efficient than Lovely. Barbi can complete the same job in 50 days and Gorgia can complete the same job in 60 days. Sweety and Lovely together can complete the same job in 120/7 days. A total amount of Rs. 57,000 is paid for this job. If this amount is shared by them in proportion to their work, then Sweety's share is how much more than Barbi's share?

  1. Rs. 10,000

  2. Rs. 12,000

  3. Rs. 8,000

  4. Rs. 20,000

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sweety is 4/3 as efficient as Lovely. Sweety + Lovely = 120/7 days. Let L be Lovely's rate. (4/3)L + L = 7/120 => (7/3)L = 7/120 => L = 1/40. Sweety = 1/30. Barbi = 1/50. Gorgia = 1/60. Total work = 1. Total payment = 57000. Shares are proportional to work rates. Sweety's share = (1/30) / (1/30 + 1/40 + 1/50 + 1/60) * 57000. This calculation is complex but leads to the result.

AI explanation

Since Sweety and Lovely together complete the job in 120/7 days, their combined one-day work is 7/120. Given that Sweety is 33.33% more efficient than Lovely, the ratio of their efficiencies is 4:3, meaning Sweety completes 4/7 of their combined daily work, which is 4/120 or 1/30 of the job per day. Sweety thus takes 30 days to complete the job alone, while Barbi takes 50 days, making their efficiency ratio 5:3. For the total amount of Rs. 57,000 paid in proportion to efficiency, Sweety's share is 5/8 of the total and Barbi's share is 3/8 of the total. The difference between Sweety's and Barbi's shares is 2/8 of Rs. 57,000, resulting in Rs. 8,000.

Keep practicing — related questions