Multiple choice

Rs 180 is to be divided among 66 persons (men and women) The ratio of the total amount of money received by men and women is 5 : 4 But the ratio of the money received by each man and woman is 3 : 2 The number of men is

  1. 20

  2. 24

  3. 30

  4. 36
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M be number of men, W be number of women. M+W=66. Ratio of total money M:W = 5:4. Ratio of individual money m:w = 3:2. Total money for men = M*m, for women = W*w. (M*3)/(W*2) = 5/4. 12M = 10W, so 6M = 5W. W = 1.2M. M + 1.2M = 66. 2.2M = 66. M = 30.

AI explanation

Multiply the ratio of total amounts by the inverse of the ratio of individual amounts to find the ratio of men to women, which is (5 * 2) to (4 * 3), simplifying to 5:6. The total parts are 11, and since there are 66 people, the number of men is (5/11) of 66, which is 30.

Keep practicing — related questions