Question

1/7 of a money is deposited at 4% per annum , ½0of a money deposited at 5% per annum and the remaining at the rate of 6%, then total interest gained 730 find deposit amount is l​

Answer 1

Answer:

Remaining,

$1 - \frac{1}{7} - \frac{1}{2} \\ = \frac{1}{2} - \frac{1}{7} \\ = \frac{5}{14}$

Total interest gained,

$\frac{1}{7}\frac{x\times4}{100}+\frac{1}{2} \frac{x \times 5 }{100} + \frac{5}{14} \frac{x \times 6}{100}=730$

$x( \frac{4}{7} + \frac{5}{2} + \frac{15}{7}) = 730 \times 100\\ \\ x( \frac{8 + 35 + 30}{14}) = 730 \times 100\\ \\ x \times \frac{73}{14} = 730 \times 100 \\ \\ x = 14000$

The deposit amount is Rs 14,000.