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SSC CGL 2025 PYQ — Question 71

SSC CGL - 15 Sep 2025 - Shift 1 • Quantitative Aptitude • Q71

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A container holds a mixture of three liquids A, B, and C in the ratio 3 : 2 : 4. If 9 liters of liquid A, 12 liters of liquid B, and a certain quantity of liquid C are added to the container, the new ratio of liquids A, B, and C becomes 9 : 8 : 15. Find the quantity (in liters) of liquid C that was added.

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 21 liters.

Let the initial quantities of A, B and C be 3x, 2x and 4x respectively.

Let the amount of R added be k.

Final amounts of A, B and C are as follows:

A = 3x + 9; B = 2x + 12 and C = 4x + k

For A nd B, 3x+92x+12=98\frac{3x + 9}{2x+ 12} = \frac{9}{8}

⇒ 24x + 72 = 18x + 108

⇒ 6x = 36

⇒ x = 6

For A and C, 3x+94x+k=915\frac{3x + 9}{4x+ k} = \frac{9}{15}

⇒ 15x + 45 = 12x + 3k

⇒ 3k = 45 + 3(6)

⇒ 3k = 63

⇒ k = 21