Correct Answer - Option 1 : 280
Given:
A container has tea and coffee in the ratio 3 : 4. 21 litres from this container is drawn and 21 litres of coffee is poured. The new ratio of tea and coffee becomes 111 : 169.
Formula:
Final percentage of a quantity X= (Initial volume of X + added amount of X)/(Initial total volume + added amount)
Calculation:
Suppose the container initially contains 3x and 4x of tea and coffee respectively.
Quantity of tea in container left =(3x – (3/7 × 21)) = 3x - 9
Quantity of coffee in container left =(4x – (4/7 × 21) + 21) = 4x – 12 + 21 = 4x + 9
Ratio = (3x - 9)/( 4x + 9) = 111/169
⇒ 169(3x - 9) = 111(4x + 9)
⇒ 507x – 1521 = 444x + 999
⇒ 63x = 2520
⇒ x = 40
Initial volume = 3x + 4x = 7x = 7 × 40 = 280
