Question

mira got 5 mangoes out of a dozen, manju got 8 mangoes out of a score and neelima got 21 mangoes out of 50 mangoes.write the above as ratios amd determine who got the largest share

Answer 1

number of mangoes Mira got = 5/12 [dozen=12]
required ratio = 5/12 = 5:12
number of mangoes Manju got = 8/20 [ score = 20]
required ratio = 8/20 = 2/5 = 2:5
number of mangoes Neelima got = 21/50
required ratio = 21/50 = 21:50

the ratios in like fraction = 5:12 , 2:5, 21:50
= 5/12 , 2/5 , 21/50
LCM of 12,5 and 50 =
$2|12 \: \: 5 \: \: 50| \\ 5 |6 \: \: \: 5 \: \: \: 25| \\ \: \: | 6 \: \: 1 \: \: \: 5 |$
= 2×5×6×5
= 10×30
= 300

therefore, 5×25/12×25, 2×60/5×60, 21×6/50×6
= 125/300 , 120/300, 126/300

therefore,the largest share was given to Neelima , i.e. 126/300= 21/50



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