Certain amount of money was divided among four people such that the ratio between the amount obtained by B and C is 13:14 respectively. The difference between the amount obtained by A and D is Rs. 300. If the average of the amount obtained by C and D is Rs. 4900 and the amount obtained by A is 25% less than the amount obtained by B, then find out the average of the amount obtained by all the four people.a)4195b)4365c)4725d)4575e)4945Correct answer is option 'C'. Can you explain this answer?

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Certain amount of money was divided among four people such that the ratio between the amount obtained by B and C is 13:14 respectively. The difference between the amount obtained by A and D is Rs. 300. If the average of the amount obtained by C and D is Rs. 4900 and the amount obtained by A is 25% less than the amount obtained by B, then find out the average of the amount obtained by all the four people.

a)
4195
b)
4365
c)
4725
d)
4575
e)
4945

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

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Certain amount of money was divided among four people such that the r...

The ratio between the amount obtained by B and C is 13:14 respectively.

Let’s assume the amount obtained by B and C is 13y and 14y respectively.

the average of the amount obtained by C and D is Rs. 4900.

14y+amount obtained by D = 9800

amount obtained by D = (9800-14y)

the amount obtained by A is 25% less than the amount obtained by B

the amount obtained by A = 75% of 13y

= 9.75y

The difference between the amount obtained by A and D is Rs. 300.

9.75y-(9800-14y) = 300

9.75y-9800+14y = 300

23.75y = 9800+300 = 10100

y = 425.263158 Eq.(i)

Or (9800-14y)-9.75y = 300

9800-14y-9.75y = 300

9800-300 = 23.75y

23.75y = 9500

y = 400 Eq.(ii)

= (5.6875y+2450) Eq.(iii)

Put the value of ‘y’ from Eq.(i) to the above given equation.

= (5.6875\times425.263158+2450)

After solving this, we will get a fractional value which is not available in any of the options. So the value of ‘y’ which is given in Eq.(i) is not possible.

Put the value of ‘y’ from Eq.(ii) to the equation Eq.(iii).

=(5.6875×400+2450)

= 2275+2450

= 4725

Hence, option c is the correct answer.

Answered by Notes Wala · View profile

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