Question

Anil deposited Rs 73,000 in a bank. If the
currency notes given by him to the bank
were in denomination Rs10, Rs50 and
Rs 100 in the ratio 3:4:5 respectively,
find the number of notes of each
denomination Anil deposited.

Answer 1

$\textbf{Given:}$

$\textsf{Anil deposited Rs 73,000 in a bank}$

$\textsf{The denomination of Rs.10, Rs. 50 and Rs.100 are in the ratio 3:4:5}$

$\textbf{To find:}$

$\textsf{The number of notes of each denomination}$

$\textbf{Solution:}$

$\textsf{Let x,y and z be the number of notes in each denomination Rs.10, Rs.50 and Rs.100}$

$\textsf{As per given data,}$

$\mathsf{x:y:z=3:4:5}$

$\mathsf{Then,}$

$\mathsf{x=3k,\;y=4k,\;z=5k}$

$\mathsf{But}$

$\mathsf{10x+50y+100z=73000}$

$\mathsf{10(3k)+50(4k)+100(5k)=73000}$

$\mathsf{30k+200k+500k=73000}$

$\mathsf{730k=73000}$

$\mathsf{k=\dfrac{73000}{730}}$

$\implies\boxed{\mathsf{k=100}}$

$\mathsf{x=3(100)=300}$

$\mathsf{y=4(100)=400}$

$\mathsf{z=5(100)=500}$

$\textbf{Answer:}$

$\textsf{Number of notes in Rs.10 is 300}$

$\textsf{Number of notes in Rs.50 is 400}$

$\textsf{Number of notes in Rs.100 is 500}$