A certain sum is invested for a certain time. it amounts to rs 450 at 7% per annum. but, when invested at 5% per annum, it amounts to rs 350.find the sum.
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Answer:
Rs 100
Step-by-step explanation:
A certain sum is invested for a certain time. it amounts to rs 450 at 7% per annum. but, when invested at 5% per annum, it amounts to rs 350.find the sum.
Let Say Sum = 100S Rs
Time Period = T
Interset at 7% per annum = 100S * 7 * T/100 = 7ST Rs
100S + 7ST = 450 eq1
Interset at 5% per annum = 100S * 5* T/100 =5ST
100S + 5ST = 350 eq2
7* eq 2 - 5 * eq1
=> 700S - 500S = 7 * 350 - 5 * 450
=> 200S = 2450 - 2250
=> 200S = 200
=> 100S = 100
Amount invested = Rs 100
100S + 5ST = 350
=> 100 + 5T = 350
=> T = 50
50 Years
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