Question
Anuj, Bittu, and Chintu can individually complete a
certain task in 84 days, 105 days, and 60 days, respectively. They all begin working together, but Bittu leaves after working for 12 days. Determine the total number of days required to complete the entire task.Solution
ATQ, Let total work = 420 days (LCM of 84, 105 and 60) Amount of work completed by Anuj in one day = 420/84 = 5 units Amount of work completed by Bittu in one day = 420/105 = 4 units Amount of work completed by Chintu in one day = 420/60 = 7 units Amount of work completed by Anuj, Bittu and Chintu together in 12 days = 12 × (5 + 4 + 7) = 192 units Amount of time taken by Anuj and Chintu together to complete the remaining work = (420 – 192)/12 = 19 days Desired time = 12 + 19 = 31 days
In 2018, the income-to-expenditure ratio of Vishal was 5:3. The following year, his income increased by 10% while his expenditure rose by 15%. Determine...
What is the value of √25% =?
Raj saves Rs. 7500 more if he spends 60% of his income instead of 90%. Find the savings of Sanjay whose income is 30% more than that of Raj, and spends ...
- In a local election between two candidates, the winning candidate secured 72% of the total valid votes and won the election by a margin of 1800 votes. Find...
The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 40000 which is 4 times the monthly income of ‘C’. If ‘A’ spends 30% of his...
In a given years, A sold 1600 caps while B sold 30% more number of caps than A and C sold 20% less number of caps than B. Find the ratio between the num...
In a school election for the position of president, two students were competing. Among the eligible voters, 80% participated by c...
The marks scored by a boy in three subjects are in the ratio 4 : 3 : 2. Boy scored an overall aggregate of 60% in the exam. If the maximum marks in each...
- A number is first increased by 18% and then decreased by 18%. The overall change in number is:
In an election contested between two candidates, 75% of the total voters in the city participated in voting, out of which 20% of ...
