In 8 years a sum of money becomes rupees 1260 at the rate of 5% per annum. After how many years will it become rupees 2700.
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is it simply intrest or compound intrest
Sam30504:
P=3150
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Given:
Amount = Rs. 1260
Rate = 5%
Time = 8 years
To Find:
Time in which it will become Rs. 2700
Solution:
Let the principle amount be = p
As given money became 1260. therefore the amount will be = (1260 - p)
Using the formula of simple interest - PRT/100
Substituting the values -
Amount -p = p × 5 × 8 /100
1260 - p = 2p/5
5 ( 1260 - p ) = 2p
6300 - 5p = 2p
7p = 6300
p = 6300/7
p = 900
Calculating years after it becomes 2700 -
(2700 - 900) = 900 × 5 × t/100
1800 = 4500t/100
t = 1800/45
t = 40
Answer: After 40 years the amount will become Rs. 2700
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