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

Question : 1

A sum of Rs.1500 is lent out in two parts in such a way that the simple interest on one part at 10% per annum for 5 years is equal to that on another part at 12.5% per annum for 4 years. The sum lent out at 12.5% is :

a) Rs.1000

b) Rs.500

c) Rs.1250

d) Rs.750

Question : 2

Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case ?

a) Rs.1800

b) Rs.1700

c) Rs.2000

d) Rs.1900

Question : 3

Simple interest on Rs.500 for 4 years at 6.25% per annum is equal to the simple interest on Rs.400 at 5% per annum for a certain period of time. The period of time is

a) 5 years

b) 4 years

c) 8$2/3$ years

d) 6$1/4$ years

Question : 4

In how many years will the simple interest on a sum of money be equal to the principal at the rate of 16$2/3$% per annum ?

a) 5 years

b) 4 years

c) 8 years

d) 6 years

Question : 5

Equal sum of money are lent to X and Y at 7.5% per annum for a period of 4 years and 5 years respectively. If the difference in interest, paid by them was Rs.150, the sum lent to each was

a) Rs.1000

b) Rs.500

c) Rs.3000

d) Rs.2000

Question : 6

A sum of Rs.1750 is divided into two parts such that the interests on the first part at 8% simple interest per annum and that on the other part at 6% simple interest per annum are equal. The interest on each part (In rupees) is

a) 65

b) 60

c) 40

d) 70