book Maths Puzzle Numerical Ability

At a sale,the price of a sofa set was reduced by 25%to $3570.Find the original price of the sofa set.

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using deductive methods prove that if n is an interger, n is greater than or equal to 2 , then f(n)= n cubed - n is always divisible by at least 6 If $10,000 and $4000 are invested such that $1250 is earned in one year, and if the rate of interest on the larger investment is 2% more than that of the smaller investment, find the rates of interest.