Multiple choice

Directions: In this question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. The ratio of the monthly salaries of Neha and Sunita is 14 : 15 and that of Sunita and Komal is 16 : 17, respectively. The total monthly salary of Neha, Sunita and Komal together is Rs. 1,15,040. Quantity 1: Monthly salary of Sunita. Quantity 2: Average monthly salary of Neha and Komal together

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

N:S = 14:15, S:K = 16:17. Combined N:S:K = 224:240:255. Total parts = 719. Total = 115040. 1 part = 160. Sunita = 240 * 160 = 38400. Average(N,K) = (224+255)/2 * 160 = 239.5 * 160 = 38320. 38400 > 38320.

AI explanation

By the proportion rule, the combined ratio of the salaries of Neha, Sunita and Komal is (14 x 16) : (15 x 16) : (15 x 17), which simplifies to 224 : 240 : 255. Let their salaries be 224x, 240x and 255x, so their total is 719x = 115040, meaning x = 160. Quantity 1 is Sunita's salary of 240 x 160 = 38400, while Quantity 2 is the average of Neha and Komal's salaries, calculated as (224x + 255x) / 2 = 239.5 x 160 = 38320. Since 38400 is greater than 38320, Quantity 1 > Quantity 2.

Keep practicing — related questions