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Question 121
Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets 12 of what Hubna gets and Huma gets 123 times Seema's share. How much money do the three sisters get individually?

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Solution

Seema gets allowance
=12 of Hubna's share

Huma gets allowance
=123 of Seema's share
=53 of Seema's share
=53 of 12 of Hubna's share
[ Seema's share =12 of Hubna's share]
=53×12 of Huma's share
=56 of Hubna's share

But Huma, Hubna and Seema received total monthly allowance from their mother = ₹ 2016

Huma's share + Hubna's share + Seema's share = ₹ 2016

1 of Hubna's share + 56 of Hubna's share + 12 of Hubna's share = ₹ 2016

So, (1+56+12) of Hubna's share = ₹ 2016

(6+5+36) of Hubna's share = ₹ 2016
146 of Hubna's share = ₹ 2016

Hubna's share
= 2016÷146

= 2016×614=144×6= 864

So, Seema's share =12 of 864 =12×864= 432

and Huma's share =56 of 864 =56×864=5×144= 720

Hence, Huma, Hubna and Seema get ₹ 720, ₹ 864 and ₹ 432, respectively.

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