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Alligation or Mixture Test - 1

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Alligation or Mixture Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0.25

    If goods be purchased for ₹450 and one-third be sold at loss of 10%, what per cent of profit should be taken on the remainder so as to gain 20% on the whole transaction?

    Solution

     

  • Question 2
    1 / -0.25

    Kamal mixes 80 kg sugar worth ₹6.75 per kg with 120 kg sugar worth of ₹8 per kg. At what rate should he sell the mixture to gain 20%?

    Solution

     

  • Question 3
    1 / -0.25

    A merchant has 50 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

    Solution

     

     

  • Question 4
    1 / -0.25

    A man travelled a distance of 60 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour. Distance travelled by foot is:

    Solution

     

  • Question 5
    1 / -0.25

    In what ratio should water and wine be mixed so that after selling the mixture at the cost price a profit of 20% is made?

    Solution

    Water : Wine = 20 : 100 = 1 : 5

     

  • Question 6
    1 / -0.25

    Find the quantity of rice @₹10 per kg which should be mixed with 25 kg of rice @ ₹8 per kg, so that on selling the mixture @ ₹15 per kg there is 80% profit.

    Solution

     

  • Question 7
    1 / -0.25

    A trader has 50 kg of rice, a part of which he sells at 14% profit and the rest at 6% loss. On the whole his loss is 4 %. What are the quantities sold at 14% profit and that at 6% loss?

    Solution

     

  • Question 8
    1 / -0.25

    A sum of rupees 210 made up of coins consist-ing of rupee, 50 P and 25 P, of which the num- bers are proportional to 5, 6 and 8. How many of rupee coins are there?

    Solution

     

  • Question 9
    1 / -0.25

    A vessel of 80 litre is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55%. The initial quantity of milk and water was:

    Solution

     

  • Question 10
    1 / -0.25

    Two equal glasses are respectively 1/4 and 1/3 full of milk. They are then filled up with water and contents mixed in a tumbler. The ratio of milk and water in the tumbler is:

    Solution

    Quantity of milk in tumbler = 1/4+1/3

    = 7/12

    Quantity of water in tumbler

    = (1-1/4) + (1 - 1/3) = 3/4 + 2/3 = 17/12

    So, ratio of milk and water = 7/12: 17/12

    = 7:17.

     

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