a sum of money put out at compound interest amounts in 2 years to rs 578.40 and in 3 years to rs 614.55.find rate of interest.
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Clearly the difference between Rs. 578.40 and Rs.614.55 is the interest on Rs. 578.40 for 1 year.
∴ Interest on Rs. 578.40 for 1 year = Rs. 614.55 - Rs. 578.40 = Rs. 36.15
∴ Interest on Rs.100 for 1 year = Rs. (36.15 x 100)/578.40
= Rs. 3615/57840 x 100/1
= Rs. 6.25
= Rs. 61/4
The required rate is .61/4 percent
∴ Interest on Rs. 578.40 for 1 year = Rs. 614.55 - Rs. 578.40 = Rs. 36.15
∴ Interest on Rs.100 for 1 year = Rs. (36.15 x 100)/578.40
= Rs. 3615/57840 x 100/1
= Rs. 6.25
= Rs. 61/4
The required rate is .61/4 percent
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