What is Ratio ? (অনুপাত ) / What is Proportion ? (সমানুপাত)

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1. What is Ratio ? (অনুপাত / अनुपात) :                   Ratio & Proportion : Click Here

A ratio compares two quantities of the same kind. It shows how much one quantity is compared to another. অনুপাত হৈছে দুটা একে ধৰণৰ পৰিমাণৰ তুলনা। এটা পৰিমাণ আনটোৰ তুলনাত কিমান, তাক দেখুৱায়
Written as a : b / লিখা হয়: a : b

Ex: If there are 2 apples and 4 oranges → Ratio = 2 : 4

Types of Proportional with examples : Click Here

2. What is Proportion ? (সমানুপাত / समानुपात)

A proportion shows that two ratios are equal. সমানুপাত মানে দুটা অনুপাত সমান হোৱা।
Written as a : b = c : d

Ex: 2 : 4 = 4 : 8

3. Easy Difference Ratio vs Proportion

i. Concept (ধাৰণা / अवधारणा)

• Ratio (অনুপাত / अनुपात): Comparison of two quantities


• Proportion (সমানুপাত / समानुपात): Equality of two ratios

ii. Meaning (অৰ্থ / अर्थ)

• Ratio: Shows how one quantity compares to another


• Proportion: Shows that two ratios are equal

iii. Form (আকাৰ / रूप)

• Ratio: a : b


• Proportion: a : b = c : d

iv. Example (উদাহৰণ / उदाहरण)

• Ratio: 2 : 3


• Proportion: 2 : 4 = 4 : 8

Explanation: Both sides are equal in proportion. AS: দুয়োফাল সমান

v. Key Rule (Cross Multiplication)

a : b = c : d ⇒ a × d = b × c

Explanation: Product of extremes = product of means. AS: বাহিৰৰ সংখ্যা × = মাজৰ সংখ্যা ×

Trick

• Ratio = Compare


• Proportion = Equal

4. Important Rule (Cross Multiplication)                        Ratio & Proportion : Click Here

Types of Proportional with examples : Click Here

a : b = c : d ⇒ a×d = b×c

Explanation: Multiply crosswise to check equality.

Example

Check: 3 : 5 = 6 : 10

• 3 × 10 = 30


• 5 × 6 = 30

Equal → It is a proportion

Final Trick

Ratio = Compare
Proportion = Equal

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Ratio and Proportion – MCQs (Exam Practice)   

Types of Proportional with examples : Click Here

1. What is a ratio ? AS: অনুপাত কি ? HI: अनुपात क्या है ?

A. Addition (যোগ / जोड़) B. Comparison (তুলনা / तुलना) C. Multiplication (গুণ / गुणा) D. Division only (ভাগ / भाग)

Ans: B (Comparison / তুলনা / तुलना)

Explanation: Ratio compares two quantities. AS: অনুপাত দুটা পৰিমাণৰ তুলনা কৰে।

2. How is ratio written ? AS: অনুপাত কেনেকৈ লিখা হয় ?

A. a + b B. a × b C. a : b D. a – b

Ans: C (a : b)
Explanation: Ratio is written using “:” AS: “:” ব্যৱহাৰ কৰি লিখা হয়

3. Which of the following is a ratio ? AS: তলৰ কোনটো অনুপাত ?

A. 2 + 3 B. 4 : 5 C. 6 × 2 D. 8 – 1

Ans: B (4 : 5)

4. What is proportion ?AS: সমানুপাত কি ?

A. Comparison B. Equality of ratios C. Addition D. Subtraction

Ans: B (Equality of ratios)
Explanation: Proportion means two ratios are equal. AS: দুটা অনুপাত সমান হোৱা

5. Which is a correct proportion ? AS: কোনটো সঠিক সমানুপাত ?

A. 2:3 = 4:6  B. 3:5 = 6:7  C. 4:5 = 8:9   D. 2:4 = 3:5

Ans: A. 2:3 = 4:6
Explanation: 2/3 = 4/6, both equal

6. Simplify 4 : 8. AS: 4 : 8 সৰল কৰক

A. 2 : 4 B. 1 : 2 C. 4 : 2 D. 8 : 4

Ans: B (1 : 2)
Explanation: Divide both by 4. AS: 4 দি ভাগ কৰক

7. In proportion a:b = c:d, what is true ?

A. a + b = c + d   B. a × d = b × c   C. a – b = c – d   D. a ÷ b = c + d

Ans: B. a × d = b × c
Explanation: Cross multiplication rule. AS: ক্রছ গুণ নিয়ম

8. Which pair is equivalent ratio ? AS: কোনটো সমান অনুপাত ?

A. 2:3 and 4:6  B. 3:4 and 6:9  C. 5:6 and 10:11  D. 2:5 and 3:7

Ans: A. 2:3 and 4:6 

9. Ratio has ______ unit. AS: অনুপাতৰ ______ একক থাকে

A. Same B. No C. Different D. Big

Ans: B (No)                                                                                           Ratio & Proportion : Click Here
Explanation: Ratio has no unit. AS: অনুপাতৰ একক নাথাকে

10. Which is greater ? AS: কোনটো ডাঙৰ ?

2:3 or 3:4

A. 2:3 B. 3:4 C. Equal D. Cannot say

Ans: B (3:4)
Explanation: 2/3 < 3/4

Types of Proportional with examples : Click Here

Tip

Ratio → Compare : অনুপাত = তুলনা
Proportion → Equal : সমানুপাত = সমান