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.
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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
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