Question
Ajay and Vijay together can paint
a piece of furniture in 11 days. Vijay and Chirag together, as well as Ajay and Chirag together, can paint the same piece of furniture in 13 days and  days, respectively. If each person takes 50% more time to build a piece of furniture than to paint it, what is the time taken by Chirag alone to build the furnitureSolution
ATQ, Let total task = 143 units Combined efficiency of ‘Ajay’ and ‘Vijay’ = 143/11 = 13 units/day Combined efficiency of ‘Vijay’ and ‘Chirag’ = 143/13 = 11 units/day Combined efficiency of ‘Ajay’ and ‘Chirag’ = {143/(143/14)} = 14 units/day Combined efficiency of ‘Ajay’, ‘Vijay’ and ‘Chirag’ = {(13 + 11 + 14)/2} = 19 units/day Therefore, efficiency of ‘Chirag’ = 19 – 13 = 6 units/day Total work in building a wall = 143 × 1.5 = 214.5 units So, time taken by ‘Chirag’ alone to build a wall = 214.5 ÷ 6 = 35.75 days
Tap P can fill a water tank in 15 minutes, Tap Q can fill it in 20 minutes, and Tap R can empty half of the tank in 15 minutes. Now, if all the taps, P,...
A shopkeeper purchased 150 kg of rice at ₹40 per kg. He sold 60% of the rice at a profit of 25% and the rest at a loss of 15%. Find the overall percen...
26.75 litres of a mixture P (milk and water) is combined with another mixture Q. The resulting mixture has milk to water in the ratio 4:7. If mixture Q ...
A vendor mixes 4 kg of oil at Rs. 10 per kg with 6 kg at Rs. 6 per kg. What is the cost price (in Rs.) of the mixture per kg?
- A solution has milk and water in the proportion 3:2. After removing 20 ml of this solution and adding 10 ml milk, the ratio becomes 4:1. Find the total vol...
Acid and water are mixed in a vessel A in the ratio of 5:2 and in the vessel B in the ratio 8:5. In what proportion should quantities be taken out from...
A mixture consists of honey and water in an 8:7 ratio. If 120 ml of this mixture is removed and then 312 ml of water is added to the remaining mixture, ...
- A vessel has 560 litres of alcohol and water in the ratio 1:3. If ‘m’% of the mixture is extracted and the alcohol removed is 35 litres, then find ‘m...
40 liters of milk are kept in a container. 4 liters were removed and replaced with water. This procedure was performed two more times. How much milk doe...
378 ml of mixture ‘A’ contains milk and water in the ratio 4:5 respectively. If the quantity of milk in mixture ‘B’ is 37.5% mor...