Question

A group of persons went out together to a charity dinner. The group consisted of four different professional groups namely 25 writers, 20 doctors, 18 dentists and 12 bank employees. They spent altogether Rs. 13300/-. Later it was found that 5 writers spent as much as 4 doctors, that 12 doctors spent as much as 9 dentists and that 6 dentists spent as much as 8 bank employees. How much did each of the four professional groups spent?

Answer 1

Answer:

3500/-,3500/-,4200/-,2100/-

Step-by-step explanation:

If 12 doctors spent as much as 9 dentists then 4 doctors spent as much as=(9/12×4)=3 dentists

If 6 dentists spent as much as 8 bank employees then 3 dentists spent as much as=(8/6×3)= 4 bank employees

Let 5 writers=4 doctors=3 dentists=4 bank employees=x

Then,25 writers=25x/5=5x

Then,20 doctors=20x/4=5x

Then,18 dentists=18x/3=6x

Then,12 bank employees=12x/4=3x

According to the question

5x+5x+6x+3x=13300/-

Or,19x=13300/-

Or,x=13300/19=700/-

Then, writer's & doctor's group spent each=(700×5)/- =3500/-

Then,dentist's group spent=(700×6)/- =4200/-

Then,bank employee's group spent=(700×3)/- =2100/-

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