Rs. 3,60,000 is divided among 66 persons. The ratio of total amount received by men and women is 5 : 4. But the ratio of money received by each man and each woman is 3 : 2. Find the number of men.

Let money received by men and women be 5x and 4x respectively. As per the question, 5x + 4x = 3,60,000 ⇒9x = 3,60,000 ⇒ x = 40,000 Amount received by men = 40,000 × 5 = Rs. 2,00,000 and amount received by women = 40,000 × 4 = Rs. 1,60,000 Let number of men = a and number of women =66 – a Amount received by each man = 200000/a and amount received by each women = 160000/66 - a As per the question, ⇒ (200000/a)/ ( 160000/66 - a) = 3/2 ⇒ (200000/a) × (66 - a)/160000 = 3 /2 ⇒ 5 ( 66 - a) / 4a = 3 /2 ⇒660 – 10a = 12a ⇒22a = 660 a = 30 Number of men = 30