Question

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20. A sum of Rupees 500 is in the form of notes of denominations of rupees 5 and 10. If the total number of notes is 90, find the number of notes of each type.​

Answer 1

Step-by-step explanation:

Let the number of 5 rupees note : x (1)

Let the number of 10 rupees note : 90-x (2)

According To Question

5x +10(90 -x) =500

5x + 900 - 10x =500

-5x +900 = 500

-5x = 500-900

-5x = - 400

x=400/5

x=80

Now, putting x (80) in 1 & 2

5rupees note =(x) 80

10rupees note = (90-80) 10

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Answer 2

AnSwer -:

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The number of ₹5 notes = 80

The number of ₹ 10 notes = 10

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Step by Step Explanation-:


Given ,


The sum of ₹5 and ₹10 notes


denominations-: ₹500


The total number of notes = 90 notes


To find ,



The number of ₹5 and ₹10 notes


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Let the number of ₹5 notes be x


Then,


The number of ₹10 notes = 90- x


Then,


Sum rupees of ₹5 and ₹10 notes


denomination = ₹ 500


The number of ₹5 notes is x


= 5 x X = ₹5x


The number of ₹10 notes


= ₹10 (90-x)


Then


According to the question



5x + 10(90-x) = 500


5x + 900 - 10x = 500


5x - 10x = 900 - 500


5x - 10x = 400


5x = 400


X = 400/5


X = 80


Therefore,

The number of ₹5 notes = x = 80 notes


The number of ₹ 10 notes =


(90-x)


= (90 - 80)


= 10 notes

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The number of ₹5 notes = 80

The number of ₹ 10 notes = 10

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Verification-:

The total sum of a money -: ₹500


The number of ₹5 notes -: 80notes

5 x 80

= ₹400

The number of ₹10 notes-: 10 notes

= 10 x 10

= ₹100

₹400 + ₹100 = ₹500

₹500 = ₹500

Therefore,

LHS = RHS

Hence Verified

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