Question

Divide3300 into two parts, such that the simple interest on the one at 6% p.a. for 9/2 years would be equal to the simple interest on the other at 9/2 % per annum for 5 years.​

Answer 1

Answer:

First Part= Rs.3000

Second Part= 3300-3000=Rs. 300

Step-by-step explanation:

Let the first part be= X

Let the second part be= 3300-X

First Case:-

SI = P X R/100 X T

SI= X x 6/100 x 9/2

SI= 54x/200

Second Case:-

SI= P X R/100 X T

SI= (3300-X) X 9/2 X 1/100 X 5

SI= (3300-X) 45/200

SI = 3300 X 45/200- 45/200X

SI= 33 X 45 - 45/200X

SI = 1485-45/200X

therefore,

54X/200 = 1485-45/200X

54X/200+45X/200= 1485

99X/200=1485

X= 1485 X 200/99

X= 165 X 200/11

X=15 X 200= Rs. 3000

thus,

First Part= Rs.3000

Second Part= 3300-3000=Rs. 300