Question

Meena went to a bank to withdraw Rs. 2550.
She asked the cashier to give her Rs. 10, Rs. 50
and Rs. 100 notes only. She got 65 notes in
total. Also, the number of Rs. 10 notes Meena
got is three times the number of Rs. 100 notes,
find the number of Rs. 50 notes that Meena got?​

Answer 1

$\sf{given} \begin{cases} \sf{Meena \ withdraw \ Rs. \ 2550 } \\ \sf{She \ got \ cash \ in \ notes \ of \ 10,50,100 } \\ \sf{ Total \ number \ of \ notes = 65} \end{cases}$

Let the note of ₹100 be x and note of ₹10 be 3x.

again, Notes of ₹50 = (65 - x - 3x)

$\circ \ {\pmb{\underline{\boxed{\sf{ According \ to \ Question: }}}}} \\ \\ \\ \colon\implies{\sf{ 100(x)+10(3x)+50(65-x-3x) = 2550 }} \\ \\ \\ \colon\implies{\sf{ 100x + 30x + 3250-50x-150x = 2550 }} \\ \\ \\ \colon\implies{\sf{ 130x+3250-200x = 2550 }} \\ \\ \\ \colon\implies{\sf{ -70x+3250 = 2550 }} \\ \\ \\ \colon\implies{\sf{ 3250 -2550 = 70x }} \\ \\ \\ \colon\implies{\sf{ 700 = 70x }} \\ \\ \\ \colon\implies{\sf{ x = \cancel{ \dfrac{700}{70} } }} \\ \\ \\ \colon\implies{\sf{ x = 10 }}$

$\bigstar$ After putting values here:-

• ₹100 = x $\mapsto$ 10 Notes
• ₹10 = 3x $\mapsto$ 30 Notes
• ₹50 = (65 - 4x) $\mapsto$ (65-40) = 25 Notes

Hence,

$\\ {\underline{\pmb{\sf{ She \ got \ 25 \ Notes \ of \ Rs. \ 50. }}}}$