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

Question : 1

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 : 2

If Rs.12,000 is divided into two parts such that the simple interest on the first part for 3 years at 12% per annum is equal to the simple interest on the second part for 4$1/2$ years at 16% per annum, the greater part is

a) Rs.6,000

b) Rs.8,000

c) Rs.7,500

d) Rs.7,000

Question : 3

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 : 4

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%

Question : 5

Prakash lends a part of Rs.20,000 at 8% simple interest and remaining at $4/3$% simple interest. His total income after a year was Rs.800. Find the sum lent at 8%.

a) Rs.12,000

b) Rs.8,000

c) Rs.10,000

d) Rs.6,000

Question : 6

Simple interest on a certain sum at a certain annual rate of interest is $16/25$ of the sum. If the number representing rate per cent and time in years be equal, then the rate of interest is

a) 11$1/2$%

b) 8%

c) 12$1/4$%

d) 12$1/2$%