Ratio, Proportion, Partnership & Mixture Quiz | Quantitative Aptitude MCQ Practice for IBPS AFO 2026

1

A, B and C started a business with their investment in the ratio 1 : 2 : 4. After 6 months, A invested half amount more as before while C withdrew 1/4th of his investment. Find the ratio of their profits at the end of the year.

Solution & Explanation Let the initial investments of A, B, and C be x, 2x, and 4x respectively. Profit of A = (x * 6) + (1.5x * 6) = 6x + 9x = 15x Profit of B = 2x * 12 = 24x Profit of C = (4x * 6) + (3x * 6) = 24x + 18x = 42x Ratio of profits = 15x : 24x : 42x = 5 : 8 : 14

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2

If Rs. 872 is divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is:

Solution & Explanation 1. Ratio = 1/2 : 2/3 : 3/4 = 6:8:9 2. Sum of ratio = 6 + 8 + 9 = 23 3. First part = (6/23) * 872 4. First part = 6 * 37.91 = 192

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3

The ratio of cost of a Bike to a Car is 5 : 6. Person B purchased 12 Bikes and 2x Cars while Person A purchased 9 Bikes and x Cars. If the total amount paid by B is 60% more than A, find the value of x.

Solution & Explanation Let cost of Bike = 5k, cost of Car = 6k. Amount paid by A = 9 × 5k + x × 6k = 45k + 6kx. Amount paid by B = 12 × 5k + 2x × 6k = 60k + 12kx. B = 1.6 × A → 60 + 12x = 1.6(45 + 6x) = 72 + 9.6x → 2.4x = 12 → x = 5. Hence option C is correct.

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4

Anand and Deepak started a business by investing ₹22,500 and ₹35,000 respectively. If the total profit at the end of the year was ₹13,800, what was Deepak's share of the profit?

Solution & Explanation Profit is divided in the ratio of investments since both remained invested for the same duration. Ratio = 22500:35000 = 9:14. Deepak's share = (14/23) × 13,800 = ₹8,400.

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5

A, B and C enter into a partnership, A invest X+8000, B invest 2X+2000 and C invest 3X + 4000 for one year if B share is 4000 from total profit of 16000 then find the difference between investment of A and C.

Solution & Explanation B's share of profit (4000) from the total profit (16000) is 1/4. This means B's investment (2X+2000) is 1/4 of the total investment (A+B+C). Solving the equation (2X+2000) / ((X+8000) + (2X+2000) + (3X+4000)) = 4000/16000 yields X=3000. The difference between C's and A's investment is (3X+4000) - (X+8000) = 2X - 4000. Substituting X=3000, the difference is 2(3000) - 4000 = 2000.

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Ratio, Proportion, Partnership & Mixture Quiz for IBPS AFO 2026

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