Question
Monthly income of Eric and Olivia is Rs. 71,200 and Rs.
78,500 respectively. Eric spends 9%, 16%, and 18% on house rent, food, and education of children respectively while Olivia spends 17%, 20%, and 15% on house rent, food, and education of children respectively. If Eric and Olivia spend 24% and 20% of their monthly income on other expenses, then find the difference between the savings of Olivia and Eric.Solution
ATQ,
Eric's Expenses Eric's monthly income = Rs. 71,200 House rent: 9% of Rs. 71,200 = Rs. 6,408 Food: 16% of Rs. 71,200 = Rs. 11,392 Education of children: 18% of Rs. 71,200 = Rs. 12,816 Other expenses: 24% of Rs. 71,200 = Rs. 17,088 Total expenses of Eric = Rs. 6,408 + Rs. 11,392 + Rs. 12,816 + Rs. 17,088 = Rs. 47,704 Savings of Eric = Rs. 71,200 - Rs. 47,704 = Rs. 23,496 Olivia's Expenses Olivia's monthly income = Rs. 78,500 House rent: 17% of Rs. 78,500 = Rs. 13,345 Food: 20% of Rs. 78,500 = Rs. 15,700 Education of children: 15% of Rs. 78,500 = Rs. 11,775 Other expenses: 20% of Rs. 78,500 = Rs. 15,700 Total expenses of Olivia = Rs. 13,345 + Rs. 15,700 + Rs. 11,775 + Rs. 15,700 = Rs. 56,520 Savings of Olivia = Rs. 78,500 - Rs. 56,520 = Rs. 21,980 Difference in Savings Difference in savings = Rs. 23,496 - Rs. 21,980 = Rs. 1,516
A circle has radius r. A square is inscribed inside it. Area of square is 242. Find radius.
- A circular sector has a radius of 14 cm and an area of 154 cm². What is the angle formed at the center by the arc? (Take π = 22/7)
The wheel of a car made 300 rotations. How much distance did the car travel if the diameter of the wheel is 28 inches? (1 inch = 2.54cm)
In a circle of radius 10 cm, a chord AB has length 10√3 cm. Find:
(i) the distance of the chord from the centre, and
(ii) the measure of...
A metal wire when bent in the form of a square encloses an area 1089 cm 2 , if the same wire is bent in the form of a circle, then its area is?
The circumference of a wheel is 39.6 cm. What is the radius of the wheel?
The area of a sector of a circle is 88cm² and the angle of the sector is 60º. Find the radius of the circle.
Find the area of a circle of radius 7 cm. (Take π = 22/7)
From an external point P, a tangent PT is drawn to a circle with centre O. If OP = 17 cm and PT = 15 cm, then the radius of the circle is:
The radius of a circle is 7 cm. Find the area of the sector formed by a central angle of 90°.