Question
Rs 1215 is divided among 6 men, 5 women and 3
boys so that the share of a man, a woman and a boy may be in the ratio of 5:6:7. What is the share of a woman?Solution
Let the amount of men, women and boys be 6x, 5x and 3x. Share of men= 6x × 5 = 30x Share of women = 5x × 6 = 30x Share of boys = 3x × 7 = 21 x ⇒ 30x + 30x + 21x = 1215 ⇒ 81x = 1215 ⇒ x = 15 Share of a woman = 30x/5 = 450/5 = 90
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