✏️ Practice Exercises

Ratio & Proportion

5 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

Divide ₹1200 in the ratio 2 : 3.

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Sum of ratio parts is the divisor.

Your Working

02

easy

If a : b = 2 : 5 and b : c = 3 : 4, find a : c.

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Multiply (a/b) × (b/c) to chain ratios.

Your Working

03

medium

The mean proportional between 9 and 25 is:

💡 Show hint

Mean proportional = √(a × c).

Your Working

04

medium

A starts a business with ₹5000. After 3 months B joins with ₹6000. At year end profit is ₹2400. Find each share.

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Partnership ratio = (capital × time) for each. A: 12 months; B: 9 months.

Your Working

05

hard

In what ratio must coffee at ₹600/kg be mixed with coffee at ₹420/kg to get a blend worth ₹500/kg?

💡 Show hint

Alligation: ratio = (b − m) : (m − a).

Your Working

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