A sum of money is placed at SI for 3 yrs at 10% per annum and then amount is invested for 2 yrs at same rate at CI.If the total amount of 5 yrs became Rs.471900,what was the sum? Find it.
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Answer:
300000
Step-by-step explanation:
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prices = Rs 3,00,000
Step-by-step explanation:
case i
Time = 3yrs
Rate = 10%
Let price = Rs x
simple interest = ?
we know,
simple interest = PTR/100
= x ×3×10/100
= 30x/100
=0.3x .........1
case ii
New ,
Price = 0.3x + x
p = Rs 1.3x
Time (T) =2yrs
Rate (R) =10%
5yrs after amount (Pt) = Rs471900
Now,
471900 =1.3x(1 +10/100)^2
or, 471900 = 1.3x (1.1)^2
or 471900 =1.3×1.21x
I. e x = 471900/1.573
so x =300,000
thus the prices be Rs 300,000.
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