A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
Solution:
A lady went to a bank with Rs.1,00,000.
She asked the cashier to give her Rs.500 and Rs.1000 currency notes in return.
She got 175 currency notes in all.
We have to find the number of each kind of currency notes.
Total number of currency notes = 175
Let the number of Rs. 500 currency notes be x
Number of Rs. 1000 currency notes = 175 - x
According to the question,
500x + 1000(175 - x) = 100000
500x + 1000(175) - 1000x = 100000
500x + 175000 - 1000x = 100000
x(500 - 1000) + 175000 = 100000
-500x + 175000 = 100000
By transposing,
-500x = 100000 - 175000
-500x = -75000
x = 75000/500
x = 750/5
x = 150
Now, 175 - x = 175 - 150 = 25
Therefore, the total number of Rs.500 and Rs.1000 currency notes are 150 and 25.
✦ Try This: A lady went to a bank with Rs. 1,50,000. She asked the cashier to give her Rs. 1000 and Rs. 2,000 currency notes in return. She got 100 currency notes in all. Find the number of each kind of currency notes.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 102
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
Summary:
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. The number of Rs.500 and Rs.1000 currency note are 150 and 25
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