type 4 difference & equality of si rate & years Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The simple interest on a certain sum at 5% per annum for 3 years and 4 years differ by Rs.42. The sum is :

a) Rs.280

b) Rs.210

c) Rs.840

d) Rs.750

Question : 2

If x, y, z are three sum of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then we have

a) $xyz$ = 1

b) $z^2 = xy$

c) $y^2 = zx$

d) $x^2 = yz$

Question : 3

The simple interest on a sum of money is $1/16$ of the principal and the number of years is equal to the rate per cent per annum. The rate per annum is

a) 2$1/2$%

b) 1$1/2$%

c) 4$1/2$%

d) 3$1/2$%

Question : 4

A person deposited Rs.500 for 4 years and Rs.600 for 3 years at the same rate of simple interest in a bank. Altogether he received Rs.190 as interest. The rate of simple interest per annum was

a) 5%

b) 4%

c) 3%

d) 2%

Question : 5

The simple interest on a sum of money is $4/9$ of the principal and the number of years is equal to the rate percent per annum. The rate per annum is :

a) 6$2/3$%

b) 5%

c) 7$1/5$%

d) 6%

Question : 6

The rate of interest per annum at which the total simple interest of a certain capital for 1 year is equal to the total simple interest of the same capital at the rate of 5% per annum for 2 years, is

a) 10%

b) $5/2$%

c) 12.5%

d) 25%