In a state legislative assembly of 150 seats, a national party wins 60 seats, a regional party wins 45 seats, and the remaining seats are won by independent candidates. What is the ratio of seats won by the national party to those won by independents? Express the ratio in its simplest form.

hard 3 marks Class 10 · Political Science · Political Parties

Answer

4:3

The correct answer is 4:3 — State the simplified ratio as 4:3.

Step-by-step solution

Calculate the number of seats won by independents: Total seats (150) minus seats of national party (60) minus seats of regional party (45).
Perform the subtraction: 150 - 60 - 45 = 45 independent seats.
Write the ratio of national party seats to independent seats as 60 : 45.
Simplify the ratio by dividing both numbers by their greatest common divisor (15): 60 ÷ 15 = 4 and 45 ÷ 15 = 3.
State the simplified ratio as 4:3.

Common mistake: Subtracting only one party’s seats from the total, leading to an incorrect number of independent seats, or forgetting to reduce the ratio fully.

Concept tested: Seat calculations and ratio simplification

Published 30 August 2026 · How this solution was prepared and checked

In a state legislative assembly of 150 seats, a national party wins 60 seats, a regional party wins 45 seats, and the remaining seats are won by independent candidates. What is the ratio of seats won by the national party to those won by independents? Express the ratio in its simplest form.

Step-by-step solution

Related questions