Question 44

. If the simple interest on Rs. x at a rate of a% for m years is same as that on Rs y at a rate of $$ a^2 $$ % for $$ m^2 $$ years, then x : y is equal to

Solution

simple interest = $$ \frac{PNR}{100} $$

SI on Rs x = $$ \frac{x \times a \times m}{100} $$

SI on Rs y = $$ \frac{y \times a^2 \times m^2}{100} $$

according to question

$$ \frac{x \times a \times m}{100} =\frac{y \times a^2 \times m^2}{100} $$

$$ \frac{x}{y} = \frac{100 \times a^2 \times m^2}{100 \times a \times m} = \frac{am}{1} $$

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