A lady went to a bank with Rs 100000. She asked the cashier to give her Rs 500 and Rs 1000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
Answers
Given:
Total amount = Rs 1,00,000
Total no. of currency notes = 175
Let the number of notes of Rs 500 be 'x'
So, the number of notes of Rs 1000 is '175 - x'
From the data above:
500x + 1000(175 - x) = 100000
100[5x + 10(175 - x)] = 100[1000]
5x + 1750 - 10x = 1000
1750 - 5x = 1000
1750 - 1000 = 5x
750 = 5x x = 750/5
x = 150
Using value of x,
=> 170 - x
=> 175 - 150 = 25
So,
The number of notes of Rs 500 = 150
The number of notes of Rs 500 = 150 And, the number of notes of Rs 1000 = 25
Verification:
500x + 1000(175 - x) = 100000
500(150) + 1000(175 - 150) = 100000
75000 + 1000(25) = 100000
100000 = 100000
Given: -
Total amount = Rs 1,00,000
Total no. of currency notes = 175
→Let the number of notes of Rs 500 be 'x'
→So, the number of notes of Rs 1000 is '175 - x'
⇒500x + 1000(175 - x) = 100000
⇒100[5x + 10(175 - x)] = 100(1000)
⇒5x + 1750 - 10x = 1000
⇒1750 - 5x = 1000
⇒1750 - 1000 = 5x
⇒750 = 5x x = 750/5
⇒x = 150
=> 170 - x
=> 175 - 150 = 25
So,
The number of notes of Rs 500 = 150
The number of notes of Rs 500 = 150 And, the number of notes of Rs 1000 = 25
Verification:
⇒500x + 1000(175 - x) = 100000
⇒500(150) + 1000(175 - 150) = 100000
⇒75000 + 1000(25) = 100000
⇒100000 = 100000
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