the sum of money is divided between two friends such that one gets 5/17 and his shares is Rs.2500.what is the total and how much

1 thought on “the sum of money is divided between two friends such that one gets 5/17 and his shares is Rs.2500.what is the total and how much”

1. Answer :–

   • The total amount is Rs 8500.
   • The other friend’s share is Rs 6000.

   Given :–

   • A sum of money is divided between two friends such that one gets 5/17 and his share is Rs 2500.

   To find :–

   • The total amount.
   • The other friend’s share.

   Step-by-step explanation :–

   • Let the total amount of money be “x”.

   • It has been given that one of the friends got 5/17 of the total money and his share is Rs 2500.

   –––––––––––––––

   [tex] \sf \longmapsto \dfrac{5}{17} \: of \: x = 2500[/tex]

   Let’s multiply 5/17 with x first.

   [tex] \sf \longmapsto \dfrac{5}{17} \times x = 2500[/tex]

   On multiplying,

   [tex] \sf\longmapsto \dfrac{5x}{17} = 2500[/tex]

   Transposing 17 from LHS to RHS, changing it’s sign,

   [tex] \sf \longmapsto 5x = 2500 \times 17[/tex]

   Multiplying 2500 with 17,

   [tex] \sf \longmapsto 5x = 42500[/tex]

   Transposing 5 from LHS to RHS, changing it’s sign,

   [tex] \sf \longmapsto x = \dfrac{42500}{5} [/tex]

   Dividing 42500 by 5,

   [tex] \longmapsto \underline{\boxed{\sf x = Rs \: 8500}}[/tex]

   • Hence, the total amount of money is Rs 8500.

   —————

   • Since the total amount of money is Rs 8500, therefore one of the friends got Rs 2500 out of Rs 8500.

   Hence,

   • The other friend’s share is :-

   [tex] \longrightarrow \boxed{ \bf8500 – 2500}[/tex]

   [tex] \longrightarrow\underline{\boxed{\bf Rs \: 6000}}[/tex]

   • Thus, the other friend got Rs 6000.

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