If 32/13 of a pice of cloth costs rupees 559. find the total cost of the piece of cloth

We are given that \( \frac{32}{13} \) of a piece of cloth costs ₹559, and we are asked to find the total cost of the whole piece of cloth.

Let the total cost of the piece of cloth be \( x \) rupees. According to the problem:

\[
\frac{32}{13} \times x = 559
\]

To find \( x \), we can solve for \( x \) by dividing both sides by \( \frac{32}{13} \):

\[
x = \frac{559 \times 13}{32}
\]

Now, let's calculate the value of \( x \):

\[
x = \frac{559 \times 13}{32} = \frac{7267}{32} = 227
\]

Thus, the total cost of the whole piece of cloth is ₹227.

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. If \( \frac{3}{4} \) of a piece of cloth costs ₹180, what is the total cost?
2. How would the cost change if \( \frac{32}{13} \) of the cloth costs ₹700 instead of ₹559?
3. If ₹559 is only \( \frac{1}{4} \) of the total cost, what would the entire piece cost?
4. If the total piece of cloth costs ₹227, how much would \( \frac{5}{6} \) of it cost?
5. How would you solve the problem if you were given the price per meter of the cloth?

**Tip**: To solve proportion-based problems, always isolate the variable you are solving for, and use multiplication or division to adjust the equation accordingly.

If 32/13 of a piece of cloth costs rupees 559, find the total cost of the piece of cloth.

Learn how to find the total cost of a piece of cloth when given that 32/13 of it costs ₹559. This problem covers basic algebraic concepts and proportions, suitable for students in Grades 6-8.

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