Question

An average Indian family allocates its monthly income under different heads as follows:

Item	Percentage share
Food	$40$
House Rent	$15$
Saving	$x$
Transport	$12$
Miscellaneous	$23$

A pie diagram of this data is to be drawn. What is the value of x if the angle which the sector representing saving makes at the centre is ${36}^{\circ }$?

• A. $13$
• B. $11$
• C. $10$
• D. $8$

Answer 1

Answer: (C)

$10$

x% $=100-(45+15+12+23)=10$%
Or, $x$% $=\left(\frac{{360}^{\circ }}{{36}^{\circ }}\right)$% $=10$%