Maths Olympiad Exam Numerical Ability Percentage

The sale price of an article including sales tax is 1232. The rate of sales tax is 10%. If the shop keeper has made a profit of 12% then the cost price of the article is?

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Maths Olympiad Other Question

By receiving two successive discounts, a dealer bought merchandise for $9 that was listed at $20. What were the discounts in percent if the first discount was 5 times the second? Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.

Options 1) 1/2
2) 1/3
3) 1/4
4) 1
5) 0
6) 3/4
7) 2/3
8) 4/5
9) 3/5
10)None of these