find the Difference between compound interest and simple interest on Rs 500 at the rate of 5% interest p. a for 2½ yrs
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☞ simple interest
- PRN/100
- 500×5×2.5 /100
- 62.4 rs
☞ compound interest
- p[(1+i)ñ-1]
- 1st year interest = 500×5% = 25
- 2nd year interest = 525×5% = 26.25
- 2.5 year interest = 551.25×5% = 13.78
- total intrest = 65.03 rs
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Step-by-step explanation:
compound interest
A= p(1+r/100)xt
A= 500(1+5/100)x2x1/2
A=500(100+5/100)2.5
A=500(105/100)2.5
A=500x1.05x2.5
A=₹ 1312.5
simple intrest
principal x interest x time
500x5x2.5
2500x2.5
6250
Difference = 6250-1312.5=4937.5
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