Question

Deveshi has a total of $Rs590$ as currency notes in the denominations of $Rs50,Rs20$ and $Rs10$. The ratio of the number of $Rs50$ notes and $Rs20$ notes is $3:5$. If she has a total of $25$ notes, how many notes of each denomination she has

Answer 1

Given Devshi has $590$ Rupees

$RS50,20\&10$ are there $\Rightarrow$ Total $25$ notes

$Rs50\&Rs20$ $\Rightarrow 3:5$

Notes of $Rs50=3x$

Notes of $Rs20=5x$

Notes of $Rs10=25-(3x+5x)=25-8x.$

Amount in $50$ Rupee notes $\Rightarrow 50\times 3x=150x$

Amount in $20$ Rupee notes $\Rightarrow 20\times 5x=100x.$

Amount in $10$ Rupee notes $\Rightarrow 10(25-8x)=250-80x$

Total Amount $=590$

$\Rightarrow 150x+100x+250-80x=590$

$\Rightarrow 250-80x=590-250$

$\Rightarrow 170x=340$

$\therefore x=2$

So Deveshi has

Notes of $Rs.50=3\left(2\right)=6i.e;150\left(2\right)=300Rs.$

Notes of $Rs.20=5\left(2\right)=10i.e;100\left(2\right)=200Rs$.

Notes of $Rs.10=25-8\left(2\right)=9i.e;=90Rs$