Question

If the cost of one metre of cloth is $₹5\frac{13}{15}$, then cost of $4\frac{7}{11}$ metre of cloth is _______________.

• A. $₹27\frac{1}{5}$
• B. $₹25\frac{1}{5}$
• C. $₹15\frac{3}{5}$
• D. $₹12\frac{4}{5}$

Answer 1

The correct option is A

$₹27\frac{1}{5}$

Cost of one metre of cloth

$=₹5\frac{13}{15}$

$=₹\frac{88}{15}$

$\therefore$ Cost of $4\frac{7}{11}$ metre of cloth

= Cost of $\frac{51}{11}$ metre of cloth

$=\frac{51}{11}\times ₹\frac{88}{15}$

$=₹\frac{51\times 88}{11\times 15}$

$=₹\frac{17\times 8}{5}$

$=₹\frac{136}{5}$

$=₹27\frac{1}{5}$