The total number of chocolates with Ram and Lakhan is more than 85 but less than 95. If Lakhan gives a particular number of chocolates to Ram, then Ram will have eight times the number of chocolates left with Lakhan and if Ram gives the same number of chocolates to Lakhan, then Lakhan will have double the number of chocolates left with Ram. How many chocolates does Ram have?

- a)44
- b)50
- c)55
- d)56
- e)Cannot be determined

Correct answer is option 'C'. Can you explain this answer?

5 Answers

Vishwanathan K
answered
Feb 22, 2020

The total number of chocolates has to lie between 85 and 95 and has to be divisible by 8+1=9 as well as 2+1=3. The only number satisfying these is 90.

Result I: Ram 80, Lakhan 10

Result II: Ram 30, Lakhan 60

Number of chocolates with Ram = (80+30)/2 = 55

Number of chocolates given/taken by Ram = (80-55) = (55-30) = 25

Result I: Ram 80, Lakhan 10

Result II: Ram 30, Lakhan 60

Number of chocolates with Ram = (80+30)/2 = 55

Number of chocolates given/taken by Ram = (80-55) = (55-30) = 25

Patcha Vinay
answered
Dec 01, 2019

Le X be intially no of chocolates with ram and y be no of chocolates with lakhan.

X+n=8(y-n):x-8y=-9n,2x-y=3n,y=1.4n,X=2.2n:8595: 85<3.6n>95;either n=24,25,26.x and y are integers so 1.4n is integer n=25;ram have x=2.2n=55

X+n=8(y-n):x-8y=-9n,2x-y=3n,y=1.4n,X=2.2n:85

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