Quantitative aptitude · lesson 8 of 30 · free

Ratio and proportion — Quantitative aptitude for kids

A ratio 4 : 5 means for every 4 of one thing there are 5 of the other. To divide an amount in a ratio, add the parts and find one part. In a proportion a : b = c : d, the outer terms multiply to the same as the inner terms.

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The method

One part — “add the ratio parts, find the value of one part, then multiply”

  1. Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts.
  2. If you know one share, one part = that share ÷ its number of parts.
  3. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

Use it for: Sharing money, recipes, maps and scale drawings, mixtures and partnership.

🧮 Check your own sums with the free Ratio calculator — it shows the working.

Worked example: Divide ₹720 between Meera and Arjun in the ratio 4 : 5. How much does Arjun get (in ₹)? → 400

  1. 4 + 5 = 9 parts, so one part = ₹720 ÷ 9 = ₹80.
  2. Arjun gets 5 parts: 5 × 80 = ₹400.

Check: Meera gets 4 × 80 = ₹320, and 320 + 400 = 720 ✓

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✏️ Practice

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🏁 Lesson 8 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Ratio and Proportion Worksheet

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