Course: CA Foundation; Topic: Ratio
Learning Objective:
How to solve word problem relating to ratios and math operations?
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 13, CA Foundaton Study Material
Question: Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they are in the ratio 3 : 5. The numbers are … ?
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : (16 , 24)
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : (4 , 6)
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : (2 , 3)
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these
Solution Video:
Exercise 1A, Question 17, CA Foundaton Study Material
Question: The ratio of two numbers is 7 : 10 and their difference is 105. The numbers are … ?
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : (200, 305)
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : (185, 290)
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : (245, 350)
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these
Solution Video:
Exercise 1A, Question 23, CA Foundaton Study Material
Question: The number which when subtracted from each of the terms of the ratio 19 : 31 reducing it to 1 : 4 is …?
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐀) : 15
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐁) : 5
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐂) : 1
𝐎𝐩𝐭𝐢𝐨𝐧 (𝐃) : None of these