Question : The difference in simple interest from two banks on INR 8,000 in 3 years is INR 800. If the rate of interest per annum in two banks are $R_1$ and $R_2$, then what is the value of $R_1-R_2$? (Where $R_1 > R_2$)

Option 1: $5 \frac{1}{3}\%$

Option 2: $3 \frac{1}{3}\%$

Option 3: $1 \frac{1}{3}\%$

Option 4: $2 \frac{1}{3}\%$

Question : The interest earned on INR 21,000 in 3 years at Simple Interest is INR 6,400. What is the rate of interest per annum?

Option 1: $10\frac{5}{63} \%$

Option 2: $10\frac{2}{63} \%$

Option 3: $10\frac{13}{63} \%$

Option 4: $10\frac{10}{63} \%$

Question : A man invests a total sum of INR 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part, at 15% simple interest per annum. If the total interest accrued in two years equals INR 2,400, the sum invested at 15% simple interest per annum is:

Option 1: INR 8000

Option 2: INR 4000

Option 3: INR 6000

Option 4: INR 5000

Question : When two circles of radii $r_1$ and $r_2$ have their centres at a distance $d$ apart, the length of the common transverse tangent is:

Option 1: $\sqrt{d^2-\left(r_1-r_2\right)^2}$

Option 2: $\sqrt{d^2+\left(r_1-r_2\right)^2}$

Option 3: $\sqrt{d-\left(r_1-r_2\right)^2}$

Option 4: $\sqrt{d^2-\left(r_1+r_2\right)^2}$

Question : The compound interest (compounding annually) on a certain sum at the rate of 8% per annum for two years is INR 6,656. What would be the simple interest on the same sum at the same rate of interest for two years?

Option 1: INR 5,600

Option 2: INR 6,224

Option 3: INR 6,400

Option 4: INR 6,336

Question : What is the rate of interest per annum for simple interest at which Rs. 880 amounts to Rs. 913 in $1 \frac{1}{2}$ years?

Option 1: $2 \frac{2}{3}$%

Option 2: $2 \frac{1}{4}$%

Option 3: $2 \frac{1}{2}$%

Option 4: $2 \frac{1}{3}$%