Question

The cost of 7 metres of cloth is ₹22. Find the cost per metre.

• A. ₹$3.\overline{12857}$
• B. ₹$3.\overline{142857}$
• C. ₹$\frac{22}{7}$
• D. ₹$\frac{11}{7}$

Answer 1

Answer: (B), (C)

The correct options are
B ₹$3.\overline{142857}$
C ₹$\frac{22}{7}$

Cost of 7 metres of cloth = ₹22
Cost of 1 metres of cloth = ₹$\frac{22}{7}$

$\begin{array}{cc}& 3.14285714\\ 7& 22\\ & -21\\ & 10\\ & -7\\ & 30\\ & -28\\ & 20\\ & -14\\ & 60\\ & -56\\ & 40\\ & -35\\ & 50\\ & -49\\ & 10\\ & -7\\ & 30\\ & -28\\ & 2\end{array}$

$\frac{22}{7}=\mathrm{3.14285714285714...}$
$\frac{22}{7}=3.\overline{142857}$
The bar on decimal part 142857 indicates that these digits are repeating in the same order.
i.e.,
Cost of 1 metres of cloth $=$ ₹$3.\overline{142857}$