Question 57

Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?

Solution

Let principal amount = $$Rs.$$ $$10x$$ and time required = $$t$$ years

=> Simple interest = $$Rs.$$ $$3x$$

Rate of interest = $$r=6\%$$

=> $$\frac{P \times r \times t}{100}=3x$$

=> $$\frac{10x \times 6 \times t}{100}=3x$$

=> $$\frac{6t}{10}=3$$

=> $$t=3 \times \frac{5}{3}=5$$ years

=> Ans - (C)

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