Tanya and Tashu invested in schemes offering simple interest at rates of 12\% and 15\% per annum for 4 years and 3 years respectively. If the amount invested by Tanya is Rs.300 less than the amount invested by Tashu, find the amount invested by Tashu, given that the interest received by both is equal.

Question

Accepted Answer

**Solution:**

1. Let the amount invested by Tashu be $ x $ rupees.

2. Then, the amount invested by Tanya is $ x - 300 $ rupees.

3. Interest received by Tanya = Principal $ \times $ Rate $ \times $ Time

$$$ I_T = (x - 300) \times \frac{12}{100} \times 4 = (x - 300) \times 0.48$ $$

4. Interest received by Tashu:

$$ $I_{Ta} = x \times \frac{15}{100} \times 3 = x \times 0.45 $$$

5. Since the interest amounts are equal:

$$$ (x - 300) \times 0.48 = x \times 0.45 $$$

6. Expanding and simplifying:

$$ 0.48x - 144 = 0.45x $$

$$ 0.48x - 0.45x = 144 $$

$$ 0.03x = 144 $$

$$ $x = \frac{144}{0.03} = 4800$ $$

**Answer:** Rs.4800

Answer

Answer

Answer

Answer