Question

Sonia has rs. 828 with her. she gives 2/9 of this to her sister. out of the remaining money she gives rs. 322 to her brother. what fraction of the original amount is left with her?

Answer 1

Hope u like my process
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Let the amount of money left with Sonia be Rs x

2/9 of her total she had was given to her sister.
So,

Her sister have =rs (828×2/9 )=184

Her brother have =Rs 322

By problem,
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x + 322 +184 =828

or, x = 828 - 184 - 322

or, x =322
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So, fraction of original amount is left with Sonia is = 322/828 = 7/18

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Answer 2

total money Sonia had=RS.828
Gave to sister=2/ 9×828
= RS.184
left=RS.(828-184)
=RS.644
gave to brother=RS.322
left=RS.(644-322)
=RS.322
fraction =322/828
=7/18