A earns ₹640 per day and works for 8 hours per day. B earns ₹360 per day and works for 6 hours per day. The ratio of per day wages of B to that of A is:
A प्रतिदिन ₹640 कमाता है और 8 घंटे काम करता है। B प्रतिदिन ₹360 कमाता है और 6 घंटे काम करता है। B और A की प्रतिदिन की मजदूरी का अनुपात हैः

Options

A. `9 : 16`
B. `4 : 5`
C. `5:4`
D. `16:9`

Answer

To find the ratio of the per day wages of B to that of A, we can follow these steps:

### Step 1: Identify the daily wages of A and B
- A earns ₹640 per day.
- B earns ₹360 per day.

### Step 2: Write the ratio of B's wages to A's wages
The ratio of B's wages to A's wages can be expressed as:
\[ \text{Ratio} = \frac{\text{Wages of B}}{\text{Wages of A}} = \frac{360}{640} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 360 and 640 is 80.

\[ \frac{360 \div 80}{640 \div 80} = \frac{4.5}{8} = \frac{9}{16} \]

### Step 4: State the final ratio
Thus, the ratio of the per day wages of B to that of A is:
\[ \text{Ratio of B to A} = 9 : 16 \]