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

1

A sum of money is divided among Wasim, Chintan, Yash and Zignesh in the ratio of 3 : 7 : 9 : 13, respectively. If the share of Wasim and Yash together is Rs. 11172, then what is the difference between the amounts of Chintan and Zignesh?

Solution & Explanation The money is divided in the ratio 3:7:9:13. The combined share of Wasim (3x) and Yash (9x) is 11172, so 12x = 11172, which means x = 931. The difference between Chintan's share (7x) and Zignesh's share (13x) is 13x - 7x = 6x. Therefore, the difference is 6 × 931 = 5586 Rs.

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2

A invests Rs. X in a business. After four months B joined him with Rs. 2X and A double his investment. If at the end of the years total profit is Rs. 13950, then find the profit share of A?

Solution & Explanation A's investment: X*4 + 2X*8 = 20X. B's investment: 2X*8 = 16X. Ratio A:B = 20X:16X = 5:4. A's share = (5/9)*13950 = 7750.

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3

Ram and Shyam invest in the ratio of 3 : 4 in a partnership business and Ram got Rs. 2700 as profit share out of total profit of Rs. 5100, then find the ratio of period of investment of Shyam to that of Ram?

Solution & Explanation Profit ratio Ram:Shyam = 2700:2400 = 9:8. Investment ratio Ram:Shyam = 3:4. Time ratio Ram:Shyam = (9/3):(8/4) = 3:2. Therefore, Shyam:Ram = 2:3.

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Passage

A, B and C started a business. The ratio of their investment periods was 2:3:6 and their profits were in the ratio 4:5:6.

4

Find the ratio of capitals of A, B and C.

Solution & Explanation Capital ratio = (4/2):(5/3):(6/6) = 2:5/3:1 = 12:10:6.

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5

Three partners P, Q and R invested their amounts in ratio of 2 : 5 : 7. At the end of 6 months, ‘P’ added some more amount such that his investment become equals to half of sum of ‘Q’ and ‘R’ initial investment. If at the end of the year, Q’s share in profit is Rs 425, then find the total profit

Solution & Explanation Let the initial investments of P, Q, R be 2x, 5x, and 7x respectively. P's initial investment is 2x for 6 months. After 6 months, P's investment becomes half of (5x + 7x) = 6x. So, P adds 4x, making his investment 6x for the next 6 months. P's total capital-time product = (2x * 6) + (6x * 6) = 12x + 36x = 48x. Q's capital-time product = 5x * 12 = 60x. R's capital-time product = 7x * 12 = 84x. The profit ratio P:Q:R is 48x:60x:84x, which simplifies to 4:5:7. If Q's share (5 units) is Rs. 425, then 1 unit = 425 / 5 = Rs. 85. The total profit (4+5+7 = 16 units) is 16 * 85 = Rs. 1360.

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

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