7 A sum of money invested at compound
interest amount to Rs 19,360 in 2 years
and Rs. 23425.60 in 4 years find the rate
percent and the original sum of money
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Answer:
Step-by-step explanation:
Amount for 4 years = Rs.23425.50
Amount for 2years = Rs.19360
Let the rate of interest =R%
A= P(1+R/ 100)T
23425.50 = 19360 (1+R/ 100)²
(1+R/ 100)² = 23425.50 / 19360
(1+R/ 100)²=121/ 100
1+R/ 100 = 11/10
R/100 =1/ 10
R = 10
Now Amount =Rs. 19360,
R = 10%
Time = 2 years
19360 = P(1+10/ 100)²
19360 = P(11/10)²
P = 19360 × 10 × 10 / 11 × 11
P = Rs. 16000
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