The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the rate of interest per annum. Statement I∶ Difference between the compound interest and simple interest earned on a certain sum in 3 years is Rs. 1024. Statement II∶ The amount doubles itself in 5 years invested in simple interest. Statement III∶ Simple interest earned in a year on the sum is Rs. 1600.
The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the rate of interest per annum. Statement I∶ Difference between the compound interest and simple interest earned on a certain sum in 3 years is Rs. 1024. Statement II∶ The amount doubles itself in 5 years invested in simple interest. Statement III∶ Simple interest earned in a year on the sum is Rs. 1600. Correct Answer Statement II alone or Statement I and III together are sufficient to answer the question.
Statement I and III∶
SI for 1 years = Rs. 1600
∴ SI for 3 years = Rs. 4800
And
Difference between the compound interest and simple interest earned on a certain sum in 3 years is Rs. 1024;
∴ CI for 3 years = 4800 + 1024 = Rs. 5824
∴ We can find the value of rate of interest.
Statement II∶
Since amount doubles itself in 5 years invested in simple interest;
∴ SI for 5 years must be equal to the principal;
∴ P = /100
∴ We can find the value of rate of interest.
∴ Statement II alone or Statement I and III together are sufficient to answer the question.