Question
A container has milk and water in the ratio 2:3. 20
litres of the mixture is removed and replaced by milk. The operation is repeated once again. If the final ratio of water to milk becomes 48:77, find the total capacity of the container (assume it stays full).Solution
ATQ, Let the total capacity be P litres. Initially, fraction of water = 3/5. Final water fraction = (3/5) × ((P - 20)/P)² Given final water:milk = 48:77 ⇒ water fraction = 48/125. So, 48/125 = (3/5) × ((P - 20)/P)² ⇒ 16/25 = ((P - 20)/P)² ⇒ 4/5 = (P - 20)/P ⇒ 4P = 5(P - 20) ⇒ P = 100 Therefore, capacity of the container = 100 litres.
Investment and savings are kept equal through changes in which of the following?Â
Which sector contributes the most to India's GDP?
What describes 'Disguised unemployment' accurately? Â
The annual rate of growth of GDP has been the lowest in which Five Year Plan?
Which of the following is not an investment expenditure in goods and services?
What is the minimum maturity period for which Commercial Paper (CP) can be issued?
What type of investment are Treasury Bills (T-bills)?
Which organization publishes the World Economic Outlook report.
The act of stimulating the economy by increasing the money supply or by reducing taxes, seeking to bring the economy back up to the long-term trend, fo...
During periods of inflation, tax rates shouldÂ
