M4maths Maths Puzzle Category

A business man invested 45% of the sum in dry fruit business, 35% of the sum in gift item business and 20% of the sum in fruit business. In a year he received a profit of 1 million rupee in dry fruit business and fruit business both. In gift item business he got a percentage profit equal to the sum of profit percentage in dry fruit and fruit businesses. His profit in gift item business (in million rupee) was

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A man travels 10 meter towards east from point A to point B, then he turns left for 10 m from point B to point C. From point C it starts to move in a semicircle CXD. CD is perpendicular to BC and D is towards east relative to C. If his distance at D from initial point A is 50 m, then radius of semicircle path will be The sum of x% of y and y% of z is z% of x. x and z are integers such that 1 =< x =< 9, 1 =< z =< 9. If y is a perfect square number then how many ordered pair (x, z) are possible satisfying the given condition.