The value of 15 coins of 25 paise each is equal to
I. 3 coins of one rupee + 1 coin of 50 paise + 1 coin of 25 paise
II. 2 coins of one rupee + 3 coins of 50 paise + 1 coin of 25 paise
III. 3 coins of one rupee + 3 coins of 25 paise
IV. 3 coins of one rupee + 2 coins of 25 paise.
In the above four, the wrong statement is

Question

The value of 15 coins of 25 paise each is equal to
I.   3 coins of one rupee + 1 coin of 50 paise + 1 coin of 25 paise
II.  2 coins of one rupee + 3 coins of 50 paise + 1 coin of 25 paise
III. 3 coins of one rupee + 3 coins of 25 paise
IV. 3 coins of one rupee + 2 coins of 25 paise.
In the above four, the wrong statement is

Accepted Answer

To determine why Option 4 is the correct answer, we need to calculate the total value of the coins mentioned in each statement and compare them to the value of 15 coins of 25 paise each.

First, let's calculate the value of 15 coins of 25 paise each:

- Each 25 paise coin is worth 0.25 rupees.
- Therefore, 15 coins of 25 paise each have a total value of 15 x 0.25 = 3.75 rupees.

Now, let's evaluate each option:

**Option I: 3 coins of one rupee + 1 coin of 50 paise + 1 coin of 25 paise**

- 3 coins of one rupee = 3 x 1 = 3 rupees
- 1 coin of 50 paise = 0.50 rupees
- 1 coin of 25 paise = 0.25 rupees
- Total value = 3 + 0.50 + 0.25 = 3.75 rupees

This matches the value of 15 coins of 25 paise each, so Option I is correct.

**Option II: 2 coins of one rupee + 3 coins of 50 paise + 1 coin of 25 paise**

- 2 coins of one rupee = 2 x 1 = 2 rupees
- 3 coins of 50 paise = 3 x 0.50 = 1.50 rupees
- 1 coin of 25 paise = 0.25 rupees
- Total value = 2 + 1.50 + 0.25 = 3.75 rupees

This also matches the value of 15 coins of 25 paise each, so Option II is correct.

**Option III: 3 coins of one rupee + 3 coins of 25 paise**

- 3 coins of one rupee = 3 x 1 = 3 rupees
- 3 coins of 25 paise = 3 x 0.25 = 0.75 rupees
- Total value = 3 + 0.75 = 3.75 rupees

This matches the value of 15 coins of 25 paise each, so Option III is correct.

**Option IV: 3 coins of one rupee + 2 coins of 25 paise**

- 3 coins of one rupee = 3 x 1 = 3 rupees
- 2 coins of 25 paise = 2 x 0.25 = 0.50 rupees
- Total value = 3 + 0.50 = 3.50 rupees

This does not match the value of 15 coins of 25 paise each, which is 3.75 rupees. Therefore, Option IV is incorrect.

In conclusion, Option IV is the wrong statement because its total value (3.50 rupees) does not equal the value of 15 coins of 25 paise each (3.75 rupees). This supports the given correct answer, Option 4.