**Course: CA Foundation; Topic: Ratio**

**Learning Objective:**

**How to solve word problem relating to finding values in ratio?**

**Concept:**

**A ratio is a comparison of the sizes of two or more quantities of the same kind by division.****Both the terms of a ratio can be multiplied or divided by the same non-zero number.****Usually a ratio is expressed in lowest terms.****The order of the terms in a ratio is important.****Ratio exists only between quantities of the same kind. Quantities to be compared must be in same units.****To compare two ratios, convert them into equivalent like fractions.**

**Exercise 1A, Question 12, CA Foundaton Study Material**

**Question: If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) is …?**

**𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : 54 : 25****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : 8 : 25****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : 17 : 24****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : 18 : 25**

**Solution Video:**

**Exercise 1A, Question 19, CA Foundaton Study Material**

**Question: If x : y = 3 : 4, the value of x²y + xy² : x³ + y³ is …?**

**𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : (13 : 12)****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : (12 : 13)****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : (21 : 31)****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these**

**Solution Video: **

**Exercise 1A, Question 22, CA Foundaton Study Material**

**Question: If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px + 3qy : 10px + 4qy is …?**

**𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : 71 : 82****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : 27 : 28****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : 17 : 28****𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these**