Question

A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2:3: 4. The number of 50 paise coins is

• A. 96
• B. 144
• C. 114
• D. 141

Answer 1

Answer: (B)

144

Answer 2

The correct option is (B): 144
Explanation: To solve this problem, let’s denote the number of coins as follows:
- Let the number of 1 rupee coins be $x$.
- Let the number of 50 paise coins be $y$.
- Let the number of 25 paise coins be $z$.
Given that the ratio of the coins is $x : y : z = 2 : 3 : 4$, we can express the number of coins as:
- $x = 2k$
- $y = 3k$
- $z = 4k$
where $k$ is a common multiplier.
Now, we can calculate the total value of the coins in rupees:
- Value from 1 rupee coins: $2k \times 1 = 2k$ rupees
- Value from 50 paise coins: $3k \times 0.50 = 1.5k$ rupees
- Value from 25 paise coins: $4k \times 0.25 = k$ rupees
Now, the total value of the coins is:
$2k + 1.5k + k = 4.5k \text{ rupees}$
Given that the total amount is Rs. 216, we have:
$4.5k = 216$
Solving for $k$:
$k = \frac{216}{4.5} = 48$
Now, we can find the number of 50 paise coins:
$y = 3k = 3 \times 48 = 144$
Thus, the number of 50 paise coins is 144.