Question
P and Q together can complete 75% of a work in 15 days
while Q alone takes 40% more time than P and Q together to complete the whole work. Find the time taken by P alone to complete 90% of the work.Solution
ATQ, Time taken by P and Q together to complete the whole work = 15/0.75 = 20 days Time taken by Q alone to complete the whole work = 1.40 × 20 = 28 days Total work = 140 units (LCM of 20 and 28) Amount of work done by P and Q together in one day = 140/20 = 7 units Amount of work done by Q alone in one day = 140/28 = 5 units Amount of work done by P alone in one day = 7 – 5 = 2 units Desired time = (0.90 × 140)/2 = 63 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 ...
