Lakshmi is a cashier in a bank. She has currency notes of denominations Rs. $ 100, Rs.50 $ and $Rs. 10 $, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is $ Rs. 4,00,000 $. How many notes of each denomination does she have?

Given:

Lakshmi has currency notes of denominations Rs. \( 100, Rs.50 \) and \(Rs. 10 \), respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is \( Rs. 4,00,000 \).

To do:

We have to find the notes of each denomination she has.

Solution:

Let the notes of denominations Rs. \( 100, Rs.50 \) and \(Rs. 10 \) be $2x,\ 3x$ and $5x$ respectively.

The ratio of the number of these notes is $2:3:5$ respectively.

Therefore,

$Rs.\ 100\times2x + Rs.\ 50\times3x + Rs.\ 10\times5x =Rs.\ 4,00,000$

$\Rightarrow\ 200x+150x+50x=4,00,000$

$\Rightarrow\ 200x+150x+50x=4,00,000$

$\Rightarrow\ 400x=4,00,000$

$\Rightarrow\ x=\frac{400000}{400}$

$\Rightarrow\ x=1000$

This implies,

$2x=2\times1000=2000$

$3x=3\times1000=3000$

$5x=5\times1000=5000$

Therefore,

The notes of each denomination she has are $2000,\ 3000$ and $5000$ respectively.

Related Articles Twinkle has a total of Rs. 590 as currency notes in the denominations of Rs. 50, Rs. 20 and Rs. 10. The ratio of the number of Rs. 50 notes and Rs. 20 notes is \( 3: 5 \). If she has a total of 25 notes, how many Rs. 20 notes does she have?
Meena went to a bank to withdraw Rs. 2000. She asked the cashier to give her Rs. 50 and Rs. 100 notes only. Meena got 25 notes in all. Find how many notes of Rs. 50 and Rs. 100 she received.
Total value of notes is 2000, number of notes is 50. How many Rs. 50 and Rs. 100 notes are received?
A lady went to a bank with a cheque of Rs. 100000. She asked the cashier to give her Rs. 500 and Rs. 2000 currency notes in return. She got 125 currency notes in all. Find the number of each kind of currency notes.
I have a total of $\ Rs. 300$ in coins of denominations $\ Rs. 1,\ Rs. 2$ and $\ Rs. 5$. The number of $\ Rs. 2$ coins is 3 times the number of $\ Rs. 5$ coins. The total number of coins is 160. How many coins of each denomination are with me?
I have a total of \( Rs. 300 \) in coins of denomination \( Rs. 1, Rs. 2 \) and \( Rs. 5 \). The number of \( Rs. 2 \) coins is 3 times the number of \( Rs. 5 \) coins. The total number of coins is 160 . How many coins of each denomination are with me?
A total of RS. 80,000 is to be distributed among 200 persons as prizes. A prize is either of RS. 500 or RS. 100. Find the number of each prizes
Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75 , then the number of Re 1 and Rs 2 coins are, respectively(A) 35 and 15(B) 35 and 20(C) 15 and 35(D) 25 and 25
In A Bundle Of Notes Of â‚¹10 Denomination There Are Notes From no.20309 To No.20512 Arranged Serially.What Is Total Amount In Bundle?
The monthly pocket money of six friends is given below:Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45What is the range?
Count the number of currency notes needed in C++
A person spent Rs. 564 in buying pens and pencils if cost of each pen is Rs. 7 and each pencil is Rs. 3 and if the total number of things bought was 108, how many of each type did he buy?
Find the ratio of expenses to savings if total earnings is Rs. 5000 and expenses is Rs. 3000.
The monthly pocket money of six friends is given below:Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45What is the highest pocket money?
The monthly pocket money of six friends is given below:Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45What is the lowest pocket money?
Kickstart Your Career
Get certified by completing the course

Get Started