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If 63 chocolates are to be divided between A and B in the ratio 4:5, then how many chocolates will A get?
28
35
27
49
28
Add the ratio parts (4+5=9). Divide the total by the sum (63/9 = 7). Multiply by A's ratio part (4 ├Ч 7 = 28).
Total chocolates = 63. Ratio of A to B = 4 : 5.
A=(a+baтАЛ)├ЧTotal
Add the ratio parts (4+5=9). Divide the total by the sum (63/9 = 7). Multiply by A's ratio part (4 ├Ч 7 = 28).
Students often divide 63 by 4 instead of the sum of the ratio parts (4+5=9).
Sum the ratio parts
To divide 63 chocolates in the ratio 4:5, first find the total number of parts.
4+5=9
Calculate value per part
Divide the total amount by the total number of parts to find the value of one part.
963тАЛ=7
Determine A's share
Since A's ratio component is 4, multiply the value of one part by 4.
A=4├Ч7=28
A is correct because when 63 is divided into 9 parts, one part equals 7, and A's share of 4 parts equals 28.
This concept is foundational for mixture and allegation problems often asked in competitive exams.
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