Question

Preeti bought 3 3/4m cloth for ₹84 and Sushma bought 4 1/2m cloth of the same type . How much did Sushma pay for the cloth

Answer 1

33/4m=84 rs
1m cost=84×4/33
41/2m cost=84×4/33×41/2
=208.7

Answer 2

$\bf{\underline{\underline \blue{Explanation:-}}}$

Cost of $\sf {3\dfrac{3}{4} }$ m cloth is Rs. 84.

$\sf\underline{\red{\:\:\: A.T.Q:-\:\:\:}}$

$\dashrightarrow \sf {The \:cost\:of\:1\:m \: cloth = Rs. \bigg(84 \div 3\dfrac{3}{4} \bigg) }$

$\dashrightarrow \sf {The \:cost\:of\:1\:m \: cloth = Rs. \bigg(84 \div \dfrac{15}{4} \bigg) }$

$\dashrightarrow \sf {The \:cost\:of\:1\:m \: cloth = Rs. \bigg(84 \times \dfrac{4}{15} \bigg)}$

$\dashrightarrow \sf {The \:cost\:of\:1\:m \: cloth = Rs. \: \dfrac{112}{5} }$

$\sf\underline{\green{\:\:\: Then:-\:\:\:}}$

$\dashrightarrow \sf {The\: cost\:of \:4 \dfrac{1}{2} \:m \:cloth = Rs. \bigg(\dfrac{112}{5} \times 4 \dfrac{1}{2}\bigg) }$

$\dashrightarrow \sf {The\: cost\:of\: 4 \dfrac{1}{2} \:m \:cloth = Rs. \bigg(\dfrac{112}{5} \times \dfrac{9}{2}\bigg) }$

$\dashrightarrow \sf {The\: cost\:of \:4 \dfrac{1}{2} \:m \:cloth = Rs. \dfrac{504}{5 } }$

$\dashrightarrow \sf {The\: cost\:of\: 4 \dfrac{1}{2} \:m \:cloth = Rs. \: 100 \dfrac{4}{5} }$

$\rule{200}{2}$