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If 546 apples were distributed among Neeraj, Vidya, and Mohan in the ratio 61тАЛ:21тАЛ:31тАЛ, how many apples did the Mohan get?
91
182
273
180
180
Convert the ratios to whole numbers by multiplying by the LCM (6). The ratio becomes 1:3:2. Mohan's share is 2 out of (1+3+2)=6 parts, which is 1/3 of the total.
Total apples = 546. Ratio of distribution (Neeraj:Vidya:Mohan) = 1/6 : 1/2 : 1/3.
SnтАЛ=тИСaiтАЛanтАЛтАЛ├ЧT
Convert the ratios to whole numbers by multiplying by the LCM (6). The ratio becomes 1:3:2. Mohan's share is 2 out of (1+3+2)=6 parts, which is 1/3 of the total.
Confusing the fractional ratio 1/6:1/2:1/3 directly as the distribution parts without converting to a common denominator (e.g., assuming Mohan gets 1/3 of the total is correct, but many wrongly calculate the sum of the ratios as 1/6+1/2+1/3 = 1).
Simplify the Ratio
To simplify the ratio 61тАЛ:21тАЛ:31тАЛ, multiply by the LCM of denominators (6): 66тАЛ:26тАЛ:36тАЛ=1:3:2.
1:3:2
Calculate Total Parts
The sum of the ratio parts is 1+3+2=6.
6
Calculate Mohan's Share
Mohan's share is 2 parts out of 6. Therefore, his share is 62тАЛ of the total, which is 31тАЛ of 546.
Mohan=62тАЛ├Ч546=182
D is correct because 1/3 of the 546 total apples equals 182 apples.
This ratio conversion technique is fundamental for 'Mixture and Alligation' problems where ratios of components are provided in fractions.
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