Multiple choice

Tina alone can do a piece of work in 12 days and Meena alone can do the same work in 15 days. If Tina and Meena undertook this work for Rs. 18,000, then how much amount will Meena get, if they work together?

  1. Rs. 10,000

  2. Rs. 6,000

  3. Rs. 12,000

  4. Rs. 8,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Tina's rate is 1/12 and Meena's rate is 1/15. The ratio of their work capacities is (1/12) : (1/15) = 5 : 4. Meena's share of the 18,000 is (4 / (5+4)) * 18,000 = (4/9) * 18,000 = 8,000.

AI explanation

When two people work together, their share of the earnings is distributed in the ratio of their daily work rates. Tina's rate is 1/12 and Meena's rate is 1/15, making their efficiency ratio 15 to 12, which simplifies to 5 to 4. The total earnings of Rs. 18,000 are divided into 9 total parts (5 + 4), where each part is worth Rs. 2,000. Since Meena's share represents 4 parts, she receives 4 * 2,000 = Rs. 8,000.

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