Akash went to bankto withdraw RS. 2000. He asked the çashier to give him rs. 50 and rs.100 notes only. Akash got 25 notes in all. Find how many notes of rs. 50 and rs. 100 he recieved?
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15 notes of 100rs
10 notes of 50rs
10 notes of 50rs
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The number of 50 rupees notes is 10.
The number of 100 rupees notes is 15.
Explanation:
Let, the number of notes of Rs. 50 be, 'y'.
∴ The number of notes of Rs. 100 = (25-y) notes.
The 50 rupees notes together make a sum of Rs.(y ×50)
= Rs. 50y
Similarly, the 100 rupees notes together make a sum of _
Rs. (25-y)×100
= Rs. 2500-100y
According to the given problem,
50y + (2500-100y) = 2000
⇒ 50y-100y +2500 = 2000
⇒ -50y = 2000-2500
⇒ -50y = -500
⇒ y = (-500/-50)
⇒ y = 10
∴ The number of 50 rupees notes is 10.
∴ The number of 100 rupees notes is = (25-10)
= 15
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