Subject
Quantitative Aptitude
Topic
Time and Work
5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?
5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?
ক)
5 daysখ)
10 daysগ)
6 daysঘ)
12 daysঙ)
None of theseExplanation
Let amount of money earned by man and woman in 1 day = ‘a’ and ‘b’ respectively, Then, ⇒ 3 × (5a+ 5b) = 660 ⇒ 5a + 5b = 220 ⇒ a + b = 44 -----------[1] Now, ⇒ 5 × (10a + 20b) = 3500 ⇒ 10a + 20b = 700 ⇒ a + 2b= 70 ------------[2] Solving equations [1] & [2] we get, ⇒ b = 26 and a = 18. Now let number of days 6 men and 4 women are made to work = N days, Then, ⇒ N × (6 × 18 + 4 ×26) = 1060 ⇒ N × (108 + 104) = 1060 ⇒ N × 212 = 1060 ⇒ N = 5 days. Hence, 6 men and 4 women can earn 1060 rupees in 5 days.Related questions
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