Question

If a family spends on food, housing and clothing in the rate of 5 : 3 : 2 and experiences the rise in prices of these heads by 40, 30 and 20 percent respectively, the family budget will be increased by ________.

• A. 33%
• B. 40%
• C. 37%
• D. none of the above

Answer 1

The correct option is A 33%

$Let$
$Old\text{expense on}\text{food,housing, clothing}$
$50:30:20$
$riseinpriceofeachheadsby40$
$Hence$
$new\exp enseonfood=40$
$new\exp enseonhou\sin g=30$
$new\exp enseonclothing=20$
$\mathrm{Re}quiredpercentageincrease=\frac{20+9+4}{50+30+20}\times 100$
$=\frac{33}{100}\times 100$
$=33$