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Ratio, Proportion, Partnership & Ages

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high importance~2 Q in Tier 122 formulas⚡ 15 shortcuts5 subtopics

Exam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.

Q1.

A sum of ₹2,500 is divided among A, B and C in the ratio 2 : 3 : 5. What is the largest share?

Q2.

If A : B = 3 : 4 and B : C = 2 : 3, then A : B : C is:

Q3.

Find the third proportional to 12 and 18.

Q4.

A and B enter into a partnership. A invests ₹30,000 for 12 months and B invests ₹40,000 for 6 months. At the end of the year they earn a profit of ₹28,800. Find A's share.

Q5.

The present ages of two persons are in the ratio 4 : 5. After 16 years, the ratio of their ages will be 6 : 7. What is the sum of their present ages?

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