Start learning 50% faster. Sign in now
In a ‘10Y’ litres of mixture of milk and water, the quantity of milk is 60%. Quantity of milk in the initial mixture is 60%. Then the quantity of water in the initial mixture will be (100-60)% = 40%. Ratio of milk and water initially ⇒ 60% : 40% ⇒ 3 : 2 So the initial quantity of milk = 10Y of (3/5) = 6Y initial quantity of water = 10Y of (2/5) = 4Y (i) If (Y-54) litres of milk and (Y-90) litres of water are added into the mixture, then the ratio between the quantity of milk and water in the new mixture will be 11:7 respectively. [6Y+(Y-54)]/[4Y+(Y-90)] = 11/7 [7Y-54]/[5Y-90] = 11/7 49Y-378 = 55Y-990 55Y-49Y = 990-378 6Y = 612 Y = 102 Here the value of ‘Y’ will be the multiple of 3. (ii) If 25 litres of mixture is taken out from the mixture and 3 and 2 litres of milk and water is added into the mixture, then the quantity of milk and water in the new mixture will be (6Y-12) and (4Y-8) respectively. [6Y-25 of 60%+3]/[4Y-25 of 40%+2] = (6Y-12)/(4Y-8) [6Y-15+3]/[4Y-10+2] = (6Y-12)/(4Y-8) [6Y-12]/[4Y-8] = (6Y-12)/(4Y-8) Here both of the sides are equal. So the value of ‘Y’ cannot be determined. So we canot say that the value is the multiple of three or not. (iii) If (Y-40) litres of water is added into the mixture, then the quantity of milk will be 27.5% more than the quantity of water in the new mixture. [6Y]/[4Y+(Y-40)] = 127.5/100 [6Y]/[4Y+(Y-40)] = 127.5/100 [6Y]/[5Y-40] = 51/40 [6Y]/[Y-8] = 51/8 48Y = 51Y-408 51Y-48Y = 408 3Y = 408 Here the value of ‘Y’ will be the multiple of 3.
Consider the following statements about the United Nations Permanent Forum on Indigenous Issues (UNPFII)
Which of the following statements are true in regards to the Young Bengal Movement?
1. Started by Derozio
2. They condemned...
Vishal has certain sum of money with him. He invested 80% of the sum in scheme ‘X’ offering 15% p.a. simple interest for 8 years and received Rs. 33...
Which of the following are correct regarding “PRASHAD scheme”?
I. It was launched by ministry of culture.
...
Which one of the following statements is not correct for Atal Pension Yojana?
The Upanishadas were translated into Persian by
Which of the following are the features of social security?
I. Social security must provide protection again...
In February 2022, which state launched open-air classroom ‘Paray Shikshalaya’?
A train covers a distance of 72 km at the speed of 48 km/h the next 69 km distance covers with a speed of 46 km/h and last 54 km with the speed of 72 km...
The ratio of length to breadth of a rectangle is 8:5. When the length and breadth of the rectangle is increased by 20% and decreased by 50% respectively...