Rs. 820 is divided among 6 men 8 women and 12 boys in such a way that every women gets an amount equal to that received by one man and one boy combined and that every man gets one and a half times the amount received by a boy. What is the total amount received by 8 women?
Show answer & explanation
Correct answer: D
Explanation
Correct Answer is option 4 i.e. Rs. 400
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Understanding |
Application |
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Given Every woman gets an amount equal to that received by one man and one boy combined and that every man gets one and a half times the amount received by a boy. Let amount received by 1 boy = X Then amount received by 1 man = 1.5 X And amount received by 1 woman = 2.5 X |
Total amount = (12 × X + 6 × 1.5X + 8 × 2.5X) = (12X + 9X + 20X) Since total amount is Rs. 820: (12X + 9X + 20X) = 820 41X = 820 X = 20 Amount received by 1 woman = 20 × 2.5 = 50 Amount received by 8 women = 50 × 8 = Rs. 400 |