Question
A can do a piece of work in 12 days, while B alone can
do it in 18 days. They work together for 6 days and the rest of the work is completed by C in 4 days. If they get Rs. 720 for the whole work, how should they divide the money?Solution
Work done by A and B in 6 days = ( `(1)/(12)` + `(1)/(18)` ) x 6 = `(5)/(6)` Work remaining = 1 - `(5)/(6)` = `(1)/(6)` C alone can do the work in 6 × 4 = 24 days Ratio of their share work = `(6)/(12)` : `(6)/(18)` : `(4)/(24)` = 3:2:1 Share of A’s wages = `(3)/(6)` x 720 = Rs. 360 Share of B’s wages = `(2)/(6)` x 720 = Rs. 240 Share of C’s wages = `(1)/(6)` x 720 = Rs. 120
- Two successive discounts of 25% and 10% is equivalent to a single discount of how much percentage?
- The product of two consecutive even integers is 960. Find the product of digits of the bigger number.
- Priya needs to travel from town 'X' to town 'Y'. If she drives at a steady speed of 60 km/h, she arrives 36 minutes early. However, if she drives at 40 km/...
- In a contest between two nominees 'X' and 'Y', 10% of all the votes were found to be invalid. If 'X' secured 60% of the valid votes and 'Y' got 21,600 vali...
A shopkeeper can make a profit of 30% by selling an article for Rs. 390. If he wants to make a profit of 50% even after allowing a discount of 25%, then...
- In a 800 metres race, Tanya beats Ravi by 160 metres and Sumit by 240 metres. By how many metres does Ravi beat Sumit in the same race?
- A windmill rotates 60 times in 1.5 hours. Find the number of rotations made by the windmill in 36 minutes.
- The ratio of the angles of a quadrilateral is 3:2:7:8. What is the sum of the largest and the smallest angle?
- Anita had 320 candies and Rina had 40 more candies than Anita. Anita gave away 25% of her candies while Rina gave away 35% of hers. How many more/less cand...
- The ratio of M to N is 4:9, and that of N to O is 3:2. If the difference between O and M is 60, what is the total of M, N, and O?