Question

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

Answer 1

Answer:

100 rupee notes are 2000 in number, 50 rupee notes are 3000 and 10 rupee notes are 5000.

Step-by-step explanation:

Given-

ratio of 100, 50 and 10 rupee notes is 2:3:5 respectively.

Total cash= 400000

Let the number of 100 rupee notes be 2x,

number of 50 rupee notes be 3x

and number of 10 rupee notes be 5x.

So, 200x + 150x + 50x= 4,00,000

     400x= 4,00,000

x= 4,00,000/ 400

 = 1000

100 rupee notes are 2x in number so 1000 x 2 = 2000

50 rupee notes- 3 x 1000= 3000

10 rupee notes- 5 x 1000= 5000

Answer 2

GIVEN :

• Ratio of Rs. 100, Rs. 50 and Rs. 10 notes = 2 : 3 : 5

LET :

• The number of Rs. 100 notes = 2x
• Then, the number of Rs. 50 notes = 3x and number of Rs. 10 notes = 5x

$\bigstar \sf\: Rs.\:100\:notes = 2x= 100 \times 2x = 200x \\ \\ \bigstar \sf\:Rs.\:50\:notes=3x= 50 \times 3x = 150x \\ \\ \bigstar \sf\:Rs.\:10\:notes=5x= 10 \times 5x = 50x$

$\:\:\:\:\dag\sf\:Total\:cash\:with\:lakshmi= Rs. 4,00,000$

$\longrightarrow\sf \: 200x + 150x + 50x = 4,00,000 \\ \\ \longrightarrow \sf\: 400x=4,00,000 \\ \\ \longrightarrow \sf\:x = \dfrac{4,00,000}{400} \\ \\ \longrightarrow \sf\:x = 1000$

$\longrightarrow\sf\:Rs.\:100\:notes= 2x= 2 \times 1000\\ =\boxed{2000} \\ \\ \longrightarrow \sf\:Rs.\:50\:notes= 3x= 3 \times 1000 \\ =\boxed{3000} \\ \\ \longrightarrow \sf\:Rs.\:10\:notes= 5x= 5 \times 1000\\ =\boxed{5000}$