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Q.

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?


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a

The number of Rs. 100 notes are 2000, the number of Rs. 50 notes are 3000 and the number of Rs. 10 notes are 5000.

b

The number of Rs. 100 notes are 1000, the number of Rs. 50 notes are 3000 and the number of Rs. 10 notes are 5000.

c

The number of Rs. 100 notes are 6000, the number of Rs. 50 notes are 7000 and the number of Rs. 10 notes are 8000.

d

The number of Rs. 100 notes are 1500, the number of Rs. 50 notes are 3000 and the number of Rs. 10 notes are 2500.  

answer is A.

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Detailed Solution

It is given that the ratio of notes of 100, 50 and 10 rupees is 2:3:5.
Let the number of Rs. 100 be 2x, the number of Rs. 50 be 3x and the number of Rs. 10 be 5x.
Analyse the table for number of notes and amount
Question ImageTotal cash with Lakshmi is Rs. 4,00,000.
Now, equation will be 200x+150x+50x=4,00,000.
Simplifying above equation,
400x=400000
x= 4,00,000 400  
x=1,000  
Substituting value of x to get the total number of each denomination.
The number of Rs. 100 notes =2x=2×1000=2000  .
The number of Rs. 50 notes =3x=3×1000=3000  .
The number of Rs. 10 notes =5x=5×1000=5000  .
Hence, Lakshmi has 2000,3000 and 5000 notes of Rs 100, Rs. 50, and Rs. 10 respectively.
Correct option is 1.
 
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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?