Question

What is the ratio of the total cost of wooden flooring to the total cost of marble flooring?

• A. 1879:2527
• B. 1887:2386
• C. 1887:2527
• D. 1829:2527
• E. 1887:2351

Answer 1

The correct option is C 1887:2527

Area of hall = 23 $\times$ 29 = 667 $m^2$
Area of branch manager room
= 13 $\times$ 17 = 221 $m^2$
Area of pantry = 14 $\times$ 13 = 182 $m^2$
Area of record keeping
=21 $\times$ 13 = 273 $m^2$
Area of locker = 29 $\times$ 21= 609 $m^2$
Total flooring area
= (667 + 221+ 182 + 273 + 609) $m^2$
= 1952 $m^2$
Cost of wooden flooring = Rs 170 per $m^2$
Cost of marble flooring = Rs 190 per $m^2$
Total flooring area with marble = locker area + record keeping + pantry = 182.+ 273 + 609 = 1064 sq m
Cost of flooring = 1064 $\times$ 190
Total flooring area with wooden = Branch Manager room + Hall = 221 + 667 = 888 sq m
Cost of flooring = 888 $\times$ 170
$\therefore$ Required ratio = 888 $\times$ 170 : 1064 $\times$ 190
= 88 $\times$ 17 :1064 $\times$ 19
= 15096 : 20216 = 1887 : 2527