Archives
Contribute

For The Mathematically Inclined


Anil Saigal 05/07/2010
PROBLEM # 1 Priya purchased a house for $ 175247. She wants to sell it for a profit of exactly 13%. However, she does not want to sell it herself. She wants a Real Estate Agent to sell it for her. The Agent must make a commission of exactly 5.7% (in addition to Priya's 13% profit). How much must the Agent sell the house for? Give your answer to the nearest dollar.
PROBLEM #2 In Figure 1, the rectangle at the corner measures 5 cm x 10 cm. What is the radius of the circle in cm?
 Please send your solutions to anil@lokvani.com.
Use Problem Solutions M051310 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.
Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com.
 Problems from 04/29/10
PROBLEM # 1 A set of football matches is to be organized in a "roundrobin" fashion, i.e., every participating team plays a match against every other team once and only once. If 91 matches are totally played, how many teams participated?
SOLUTION
14 teams.
PROBLEM #2
Divide $98 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $98, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?
SOLUTION
7 bags.
Congratulations to Kishore Balsara, Janani Baskaran, Sitaram Chandawarkar, Akshay Gowrishankar, Roopesh Mathur, Nupur Parikh and Krishnaveni Vempati, who were winners of the last set of puzzles.

You may also access this article through our website http://www.lokvani.com/

Figure 1
