Question 55

The simple interest on ₹x for m years at a rate of r% is equal to the same on ₹y for n years at the rate of s%. then $$\frac{x}{y}$$ is equal to:

Solution

The simple interest on ₹x for m years at a rate of r% is equal to the same on ₹y for n years at the rate of s%.

$$\frac{x\times\ r\times\ m}{100}\ =\ \frac{y\times\ s\times\ n}{100}\ $$

$$x\times\ r\times\ m\ =\ y\times\ s\times\ n\ $$

$$\frac{x}{y}\ =\ \ \frac{s\times\ n}{r\times\ m}$$

$$\frac{x}{y}\ =\frac{sn}{rm}$$

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