In a certain town 25 % families own a cell phone, 15 % families own...

In a certain town

25

% families own a cell phone,

15

% families own a scooter and

65

% families own neither a cell phone nor a scooter. If

1500

families own both a cell phone and a scooter, then the total number of families in the town is In a certain town 25 % families own a cell phone, 15 % families own a scooter and 65 % families own neither a cell

In a certain town 25 % families own a cell phone, 15 % families own a scooter and 65 % families own neither a cell

Options

A $10000$
B $20000$
C $30000$
D $40000$

Correct answer

C. $30000$

Step-by-step solution

Let the total population of town be

x

∴ \dfrac{25x}{100} + \dfrac{15x}{100} - 1500 + \dfrac{65x}{100} = x

⇒ \dfrac{105x}{100} - x = 1500

⇒ \dfrac{5x}{100} = 1500

⇒ x = 30000

Practice Sets and Relations on Quantrex Academy →

More from Sets and Relations

Let S = \ 1, 2, 3, …, 10\ . Consider the set X = \ R : R is an equivalence relation on… JEE Advanced 2026 Consider the relation R on the set \ -2,-1,0,1,2\ defined by (a, b) ∈ R if and only if… JEE Main 2026 Let R = \ (x, y) ∈ ℕ × ℕ : _e(x + y) ≤ 2\ . Then the minimum number of elements, required… JEE Main 2026 Let A = \ 1, 4, 7\ and B = \ 2, 3, 8\ . Then the number of elements, in the relation R =… JEE Main 2026 Let A = \ 2, 3, 4, 5, 6\ . Let R be a relation on the set A × A given by (x, y) R (z, w)… JEE Main 2026 Let R be a relation defined on the set \ 1,2,3,4\ ×\ 1,2,3,4\ by R=\ ((a, b),(c, d)): 2… JEE Main 2026 Let A=\ 0,1,2, …, 9\ . Let R be a relation on A defined by (x, y) ∈ R if and only if… JEE Main 2026 Let A=\ -2,-1,0,1,2,3,4\ . Let R be a relation on A defined by x Ry if and only if 2 x+y… JEE Main 2026 The number of elements in the relation R=\ (x, y): 4 x^ 2 +y^ 2 <52, x, y ∈ Z\ is JEE Main 2026 Let S be the set of the first 11 natural numbers. Then the number of elements in A=\ B ⊆… JEE Main 2026 Let the relation R on the set M=\ 1,2,3, …, 16\ be given by R=\ (x, y): 4 y=5 x-3, x, y ∈… JEE Main 2026 Let A=\ x:|x^ 2 -10| ≤ 6\ and B=\ x:|x-2|>1\ . Then JEE Main 2026 Let A=\ 2,3,5,7,9\ . Let R be the relation on A defined by x R y if and only if 2 x ≤ 3 y… JEE Main 2026 The number of relations, defined on the set \ a, b, c, d\ , which are both reflexive and… JEE Main 2026 Let the set of all relations R on the set \ a, b, c, d, e, f\ , such that R is reflexive… JEE Advanced 2025 Let A=\ 0,1,2,3,4,5\ . Let R be a relation on A defined by (x, y) ∈ R if and only if max… JEE Main 2025 Full Sets and Relations list Sets and Relations JEE Maths PYQs JEE Mathematics PYQs All NTA Abhyas JEE Main PYQs