If `(4)/(5)` of an ornament be worth Rs 16800, then the value of `(3)/(7)` of it is -

Options

A. a) Rs 90000
B. b) Rs 9000
C. c) Rs 72000
D. d) Rs 21000

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Define the total value of the ornament
Let the total value of the ornament be \( x \).

### Step 2: Set up the equation based on the given information
According to the problem, \( \frac{4}{5} \) of the ornament is worth Rs 16800. We can express this as:
\[ \frac{4}{5} x = 16800 \]

### Step 3: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = 16800 \times \frac{5}{4} \]
Calculating this gives:
\[ x = 16800 \times 1.25 = 21000 \]

### Step 4: Find \( \frac{3}{7} \) of the total value
Now that we have the total value of the ornament, we need to find \( \frac{3}{7} \) of \( x \):
\[ \frac{3}{7} x = \frac{3}{7} \times 21000 \]

### Step 5: Calculate \( \frac{3}{7} \) of \( 21000 \)
Calculating this gives:
\[ \frac{3}{7} \times 21000 = 3 \times 3000 = 9000 \]

### Final Answer
The value of \( \frac{3}{7} \) of the ornament is Rs 9000.

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