Simple and Compound Interest

On dividing Rs. $1850$ into two parts $1st$ part is invested at $5$% and the second part is invested at $10$%. If the interest is compounded annually, then amounts become same in two years. What is the amount that is invested at $10$%?

Two partners invest Rs. $12,500$ and Rs. $8,500$ respectively in their business and arrange that $60$% of the profit should be divided equally between them and the remaining profit treated as interest on the capital. If one partners share is Rs. $300$ more than that of the other, find the whole amount of the profit.

Choose the correct answer form the alternatives given. A sum of money amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years at compound interest. The sum is

Find the rate per cent per annum if Rs. $2,00,000$ amount to Rs. $2,31,525$ in $1^{1_{/2}}$ year interest being compounded half-yearly.

Determine the compound amount and compound interest on Rs. $1,000$ at $6\%$ compounded semi-annually for $6$ years. Given that $(1+i)^n=1.42576$ for $i=3\%$ and $n=12$.

Mrs. S deposited Rs. $1,00,000$ in a nationalized bank for $3$ years. If the rate of interest is $7\%$ p.a., Interest is compounded annually. Calculate the amount at the end of third year (i.e., Principal $+$ compound interest)

The amount of $Rs. 10,000$ after $2$ years, compounded annually with the rate of interest being $10$% per annum during the first year and $12$% per annum during the second year, would be

A man has part of $Rs. 4500$ invested at $4$% and the rest at $6$%. If the annual return on each investment is the same, the average rate of interest which he realizes on the $Rs. 4500$ is

The compound interest for a certain sum at 5% per annum for the first year is 25. The simple interest for the same money at 5% for two years will be rupees