Question
Quantity-I: A mixture contains 40% milk and the rest
240 litres water. When (x−10) litres of water and (x+8) litres of milk are added to this mixture, the ratio of the quantity of milk to that of water in the resultant mixture becomes 7:8. Find the value of ‘x’. Quantity-II: The ratio of the quantity of alcohol to that of water in a mixture (alcohol + water) is 6:4, respectively. 30% of this mixture is replaced with 5 litres of alcohol and 7 litres of water such that the ratio of the quantity of alcohol to that of water in the resultant mixture becomes 8:6. 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.ÂSolution
ATQ, Quantity I: Initial quantity of milk = 240×(0.40/0.60)=160 litres Final quantity of milk = 160+x+8=(168+x) litres Final quantity of water = 240+x−10=(230+x) litres According to the question, (168+x)/(230+x) = 7/8 8(168+x)=7(230+x) 1344+8x=1610+7x x=266 So, Quantity I = 266 Quantity II: Let the initial quantity of alcohol and water be 6x litres and 4x litres, respectively Final quantity of alcohol = (0.70×6x)+5=(4.2x+5) litres Final quantity of water = (0.70×4x)+7=(2.8x+7) litres According to the question, (4.2x+5)/(2.8x+7) = 8/6 6(4.2x+5)=8(2.8x+7) 25.2x+30=22.4x+56 2.8x=26 26/2.8 =9.29 Therefore, ‘y’ = 0.25 × 4x = x So, Quantity II = 9.29 So, Quantity I > Quantity II
Headquarter of National Horticulture board is located at
 A combination of contouring and crop rotation, in which alternate rows are constructed perpendicular to the direction of wind and water flow, to prev...
The 'equivalent basicity' of the fertilizer Sodium nitrate is:
Which of the following is not a basic principle of food preservation?
Which of the given is not a straight fertilizer?
Which of the following is a beneficial microorganism as far as dairying is concerned?
Soils having white encrustation of soluble salts at the surface, known as __ ?
Which type of parthenocarpy is observed in Banana?Â
Crops grown to supplement the yield of main crops are called _____
Which compound enhances herbicide action in plants?