Question

A man went to RBI with a note of rs 2000. he asked the cashier to give him rs 10 and rs 20 notes only in return. the man got 175 notes in all. find how many notes of rs10 and rs 20 did he receive?​

Answer 1

Answer:

Man recieve -

• Rs. 10 notes = 150
• Rs. 20 notes = 25

Step-by-step explanation:

$\bold{\underline{\underline{Assume\::}}}$

Let the -

• Rs. 10 note = x
• Rs. 20 note = y

$\bold{\underline{\underline{Find\::}}}$

How many Rs. 10 and Rs. 20 nots did the man recieve.

$\bold{\underline{\underline{Solution\::}}}$

According to question,

We have given that the man got total 175 notes.

So,

⇒ x + y = 175 ____ (eq 1)

⇒ x = 175 - y____ (eq 2)

Also, the man went in RBI with a note of Rs. 2000 and he asked cashier to give him Rs. 10 and Rs. 20 notes in return.

⇒ 10x + 20y = 2000

⇒ x + 2y = 200

⇒ 175 - y + 2y = 200 [From (eq 2)]

⇒ y = 200 - 175

⇒ y = 25

Substitute value of y in (eq 2)

⇒ x = 175 - 25

⇒ x = 150

∴ Man recieve 150 notes of Rs. 10 and 25 notes of Rs. 20

Verification

From above calculations we have x = 150 and y = 25

Substitute value of x and y in (eq 1)

→ 150 + 25 = 175

→ 175 = 175