question_answer

A hall 25 m long and 15 m broad is surrounded by a verandah of uniform width of 3.5 m. The cost of flooring the verandah, at Rs. 27.50 per m is                                                                               [SSC (CGL) 2012]

A) Rs. 9149.50                  

B) Rs. 8146. 50

C) Rs. 9047. 50     

D) Rs. 4186.50

Correct Answer: C

Solution :

Length and breadth of hall are \[25\,\,m\] and \[15\,\,m,\] respectively. Uniform width of verandah \[=3.5\,\,m\]

Area of pathway \[=2x\,\,(l+b+2x)\]

\[=2\times 3.5\,\,[25+15+(2\times 3.5)]\]

\[=7\,\,[25+15+7]=329\,\,c{{m}^{2}}\]

Now, cost of flooring verandah

\[=27.50\times 329\]

\[=\text{Rs}\text{. 9047}\text{.50}\]