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Father reduced the quantity of food bought for the family...

Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now

A.

112

B.

635

C.

19300

D.

7200

E.

5100

Correct answer is D

Let the cost of living = y.

The new cost of living = y+15y100=1.15y

The food bill now = (190100)(1.15y)

= 1.035y

The fractional increase in food bill = (1.0351)×100

= 351000=7200