Rani jai and Seema receive a total of 2016 as monthly allowance from their mother such that
Seema gets 1/2 of war Rani gets and jai gets 3/2 times Seema's share. How much money do the three
siblinger individually?
Answers
Answer:
Total monthly allowance received by Huma, Hubna and Seem = ₹ 2,016 from their mother Seema gets allowance = ½ of Huma’s share Hubna gets allowance = 1 2/3 of Seema’s share = 5/3 of Seema’s share = 5/3 of ½ of Huma’s share … [∵ given] = 5/3 × ½ of Huma’s share = 5/6 of Huma’s share So, Huma’s share + Hubna’s share + Seema’s share = ₹ 2,016 Let Huma’s share be 1, 1 + (5/6) Huma’s share + ½ Huma’s share = ₹ 2,016 (1 + (5/6) + ½) = ₹ 2,016 The LCM of the denominators 1, 6 and 2 is 6 (1/1) = [(1×6)/ (1×6)] = (6/6) (5/6) = [(5×1)/ (6×1)] = (5/6) (1/2) = [(1×3)/ (2×3)] = (3/6) Then, (6/6) + (5/6) + (3/6) = ₹ 2,016 (6 + 5 + 3)/ 6 = ₹ 2,016 (14/6) = ₹ 2,016 So, Huma’s share = ₹ 2,016 ÷ (14/6) = 2,016 × (6/14) = 144 × 6 ∴Huma’s Share is = ₹ 864 Seema’s share = ½ Huma’s share = ½ × 864 = ₹ 432 Hubna’s share = 5/6 of Huma’s share = 5/6 × 864 = 5 × 144 = ₹ 720Read more on Sarthaks.com - https://www.sarthaks.com/845980/huma-hubna-and-seema-received-total-016-monthly-allowance-from-their-mother-such-that-seema
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