Question
Shyam alone can finished a work in 15 days.Raman and
Rahul side by side can complete the same work in 10 days. If Raman begin the work alone and left since working for 6 days, then find the time taken by Rahul alone to complete the carried forward work.Solution
Let the total work = L.C.M of 15 and 10 is = 30 units Then, the capacity of Shyam to do work alone is = 30 ÷ 15 = 7 units/day The combined capacity of Shyam and Rahul = 30 ÷ 10 = 3 units/day So, the capacity of Rahul alone to do work = 3 - 2 = 1 units/day Therefore, Work done by Shyam alone in 22 days will be = 2 X 6 = 12 units So, Remaining work will be = 30 - 12 = 18 units
Two varieties of rice costing Rs 40 per kg and Rs 50 per kg are mixed and sold at Rs 44 per kg without any profit or loss. In what ratio are the two var...
15 litres of mixture A is blended with 35 litres of mixture B and x litres of mixture C. Acid percentages in A, B, C are 20%, 32%, and 50% respectively....
A merchant has 20 liters of alcohol. To achieve a 75% profit by selling the mixture at the original cost price of the alcohol, how much water should he ...
A chemist prepared 50 grams of a medicine by mixing two ingredients P and 'Q, Rate of 'P' is ₹150 per 10 gm and that of 'Q' is ₹ 500 per 100 gm. 'P'...
A mixture contains alcohol and water in the ratio 5:3. If 4 liters of water are added to the mixture, the ratio becomes 5:7. What is the initial quant...
Sea water contains 5% salt by weight. If you have 40 kg of sea water, how much fresh water must be added to dilute the solution so that the salt concent...
Vessel A contains only milk and water in the ratio 7:3. Vessel B contains only milk and water in the ratio 4:1. 40 litres of mixture is poured from A to...
A 200-litre mixture of milk and water contains 70% milk. How much water should be added so that the ratio of milk to water becomes 7:6?
Quantity of water in a 360 litres mixture (Milk + Water) is 40 litres less than the quantity of milk in it. Find the quantity of water to be mixed so t...
A 164-liter mixture consists of milk and water in a ratio of 17:24. The milkman sells 82 liters of this mixture and then adds 123 liters of water to the...
Relevant for Exams:
