question_answer

             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. 400,000. How many notes of each denomination does she have?

Answer:

Let number of notes be 2x, 3x and 5x

According to question,

\[2x\times 100+3x\times 50+5x\times 10=4,00,000~~~~\]

or         \[200x+150x+50x=4,00,000\]

or            \[400x\text{ }=\text{ }4,00,000\]

or             \[x=\frac{4,00,000}{400}\]

[Dividing both sides by 400]

or                                    x = 1,000

Hence, Number of denomination of Rs. 100 notes

\[=\text{ }2\times 1,000\]

=2,000

Number of denomination of Rs. 50 notes

\[=\text{ }3\times 1,000\]

= 3,000

Number of denomination of notes Rs. 10 notes

\[=\text{ }5\times 1,000\]

= 5,000

Hence, required denominations of notes of Rs. 100, Rs.  50 and Rs. 10 are 2,000, 3,000 and 5,000 respectively.