Question
Quantity-I: A mixture contains 50% milk and the rest
360 litres water. When (x −15) litres of water and (x+10) litres of milk are added to this mixture, the ratio of the quantity of milk to that of water in the resultant mixture becomes 5:6. Find the value of ‘x’. Quantity-II: The ratio of the quantity of sugar to that of water in a mixture (sugar + water) is 8:6, respectively. 35% of this mixture is replaced with 6 litres of sugar and 8 litres of water such that the ratio of the quantity of sugar to that of water in the resultant mixture becomes 7:5. If the measure of 25% of the initial quantity of water in the mixture is ‘y’ litres, then find the value of ‘y’. In the question, two Quantity I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.Solution
ATQ, Quantity I: Initial quantity of milk = 360×(0.50/0.50 )=360 litres Final quantity of milk = 360+x+10=(370+x) litres Final quantity of water = 360+x−15=(345+x) litres According to the question, (370+x)/(345+x) = 5/6 6(370+x)=5(345+x) 2220+6x=1725+5x x=160 So, Quantity I = 160 Quantity II: Let the initial quantity of sugar and water be 8x litres and 6x litres, respectively Final quantity of sugar = (0.65×8x)+6=(5.2x+6) litres Final quantity of water = (0.65×6x)+8=(3.9x+8) litres According to the question, (5.2x+6)/(3.9x+8) = 7/5 5(5.2x+6)=7(3.9x+8) 26x+30=27.3x+56 1.3x=26 x = 26/1.3 x = 20 Therefore, ‘y’ = 0.25 × 6x = x So, Quantity II = 20 So, Quantity I > Quantity II
For what was Albert Einstein awarded Nobel Prize?
The phenomenon of splitting white light into its component colours is called:
Which organ in the human body is primarily responsible for filtering blood?
Food cans are coated with tin and not with zinc because
What is the name of the reaction in which acid reacts with base to form salt and water?
Chemical equation is balanced according to the law of
Two billiard balls each of mass 0.02 kg moving in opposite directions with speed 5 m s−1 collide and rebound with the same speed. What is t...
The spokes used in the wheel of a bicycle increase its –
The substance which conducts current in the solid state is –
Which vitamin can be synthesized in the liver?
Relevant for Exams:
