For The Mathematically Inclined

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?

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Problems from 04/29/10

PROBLEM # 1

A set of football matches is to be organized in a "round-robin" 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.

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Figure 1