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.Solution
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
Which of the following is not one of the four core components of DAY-NRLM?
Criteria of essentiality by given by:
For 2024-25 marketing season, the MSP for Wheat is Rs.___
Which of the following types of insecticides are not used against food grain pests in storage?
On World Environment Day 2025, Prime Minister Narendra Modi launched which tree plantation campaign?
As per the Agriculture Census, which category of operational holding is defined as ‘below 1.00 hectare’?
Which among of the following is bottom up planning:
In India, the highest sunshine hours per day is in the moth of
Bottom heat technique of mango cutting for rooting is done at
Which award ceremony will be held on National Milk Day 2024?