7. A lady went to a bank with a cheque of ₹1,00,000. She asked the cashier to give her ₹500 and
₹2000 currency notes in return. She got 125 currency notes in all. Find the number of each kind of currency notes
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Answer:
₹500 notes = 100 and ₹2000 notes = 25
Step-by-step explanation:
let the no of ₹500 notes be x and no of ₹2000 notes be y
therefore we know that
₹500x + ₹2000y = ₹1,00,000 (A)
and x+y = 125 (B)
therefore from (B) x= 125 -y
putting value of x in (A)
₹500(125-y) +₹2000y = ₹1,00,000
₹62,500 - ₹500y + ₹2000y = ₹1,00,000
₹2000y - ₹500y = ₹1,00,000 - ₹62,500
₹1500y = ₹37,500
y = ₹37,500 ÷ ₹1,500
y= 25 notes
therefore x = 125- 25 = 100 notes
therefore the lady got 100 notes of ₹500 and 25 notes of ₹2000
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