Exams › SSC CGL (Prelims) › General

A tank contains liquids A, B, and C in the ratio $8:6:4$. 30 liters of the mixture are drained out, after which 12 liters of A and 8 liters of C are added. In the final mixture, the quantity of A is 20 liters more than the quantity of B. Find the initial total volume of the mixture in the tank.

1. 106 L
2. 172 L
3. 102 L
4. 190 L

Correct answer: 102 L

Solution

Let the initial total volume be $V$. Then initial amounts are $A=\frac{8}{18}V$, $B=\frac{6}{18}V$, $C=\frac{4}{18}V$. After removing 30 L, the remaining amounts are reduced proportionally; then 12 L of A and 8 L of C are added. Using the condition that final A is 20 L more than final B gives $V=102$ L.

Related SSC CGL (Prelims) General questions

• The ratio of two numbers is 5:7 and their sum is 96. Find the numbers.
• A mixture contains milk and water in the ratio 3:5. If the total quantity is 40 litres, how much milk should be added to make the ratio 1:1?
• A bookstore ordered 10 boxes of hardcover books and some boxes of paperback books. Hardcovers cost twice as much per box as paperbacks. Due to an order error, the quantities were swapped, increasing the bill by 20%. What is the ratio of hardcover to paperback boxes originally?
• A pipe is divided in the ratio $\frac{3}{7}:\frac{2}{5}:\frac{3}{4}$. If the total length is 8 m, find the largest piece.
• If P is 30% more than Q, and R is 25% more than P, then what is the ratio Q:R?
• A mixture contains milk and water in the ratio 3:2. If 20 litres of milk is added, what is the new ratio?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →