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
Let the cost of living = y.
The new cost of living = \(y + \frac{15y}{100} = 1.15y\)
The food bill now = \((1 - \frac{90}{100})(1.15y)\)
= \(1.035y\)
The fractional increase in food bill = \((1.035 - 1) \times 100% = 3.5%\)
= \(\frac{35}{1000} = \frac{7}{200}\)
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