Question

₹27 is in the form of 50 paise, 25 paise and 20 paise coins. The number of 25 paise coins is double the number of 20 paise coins but half the
number of 50 paise coins. Find the number of coins of each type.

Answer 1

Answer:

x=40, y=20, z=10

Step-by-step explanation:

Let the number of 50 paise coins,25 paise coins and 20 paise coins be x ,y and z respectively.

Given,

50x+25y+20z=2700 ..(1)

y=2z ...(2)

y=x/2

So, x/2 =2z

So x = 4z ...(3)

From (1),(2) and (3)

50(4z)+25(2z)+20z=2700

200z+50z+20z=2700

270z=2700

z=10

So from (2), y=2z= 20

From (3), x=4z=40

So; x=40, y=20, z=10

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Answer 2

Answer:

Let the number of 20 paise coins be x.

Number of 25 paise coins = 2x

Number of 50 paise coins = 4x

According to Question,

20x + 25 (2x) + 50 (4x) = 2700

20x + 50x + 200x = 2700

270x = 2700

x = 10

Hence, number of 20 paise coins = 10

Number of 25 paise coins = 2 × 10 = 20

Number of 50 paise coins = 4 × 10 = 40