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Ratio & Proportion

8 questions · EasyMediumHard

A ratio compares quantities by division. To share an amount in the ratio a : b, split it into a + b equal parts.

💡 Quick tricks

Share of A = total × a ÷ (a + b).
To join A:B and B:C into A:B:C, make the B terms equal first.
In a proportion a : b = c : d, the product of the outer terms equals the product of the inner terms: a × d = b × c.

8 questions

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Tap an answer. You'll see if it's right, and why. Easy ones come first.

Q1Easy

Karan and Imran share ₹90 in the ratio 1:2. Find Imran's share.
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Answer: C. ₹60
💡 Total parts = 1 + 2 = 3, one part = 90 ÷ 3 = ₹30, so Imran gets 2 × 30 = ₹60.
Q2Easy

Aditya and Tarun share ₹240 in the ratio 2:1. Find Tarun's share.
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Answer: B. ₹80
💡 Total parts = 2 + 1 = 3, one part = 240 ÷ 3 = ₹80, so Tarun gets 1 × 80 = ₹80.
Q3Easy

Riya and Farhan share ₹2,800 in the ratio 5:9. Find Farhan's share.
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Answer: D. ₹1,800
💡 Total parts = 5 + 9 = 14, one part = 2,800 ÷ 14 = ₹200, so Farhan gets 9 × 200 = ₹1,800.
Q4Medium

₹2,430 is shared by Ananya, Siddharth and Jaya in the ratio 2:1:6. Jaya gets?
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Answer: B. ₹1,620
💡 Parts = 2 + 1 + 6 = 9, one part = ₹270, so Jaya gets 6 × 270 = ₹1,620.

Q5Medium

₹1,920 is shared by Shreya, Siddharth and Fatima in the ratio 1:5:2. Fatima gets?
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Answer: B. ₹480
💡 Parts = 1 + 5 + 2 = 8, one part = ₹240, so Fatima gets 2 × 240 = ₹480.
Q6Medium

₹900 is shared by Priya, Pooja and Nikhil in the ratio 5:3:2. Nikhil gets?
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Answer: A. ₹180
💡 Parts = 5 + 3 + 2 = 10, one part = ₹90, so Nikhil gets 2 × 90 = ₹180.
Q7Hard

If A:B = 4:1 and B:C = 3:2, what is A:C?
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Answer: D. 6:1
💡 A:C = (A/B) × (B/C) = (4 × 3):(1 × 2) = 6:1.
Q8Hard

If A:B = 1:4 and B:C = 5:8, what is A:C?
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Answer: D. 5:32
💡 A:C = (A/B) × (B/C) = (1 × 5):(4 × 8) = 5:32.

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