A person earns an interest of 240 on investing certain amount at Simpl...
240 = P*(5/100)*2, P = 2400
CI = 2400(1+5/100)2 – 2400 = 246
So, 246 – 240 = 6
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A person earns an interest of 240 on investing certain amount at Simpl...
240 = P*(5/100)*2, P = 2400
CI = 2400(1+5/100)2 – 2400 = 246
So, 246 – 240 = 6
A person earns an interest of 240 on investing certain amount at Simpl...
Given:
Principal amount = p
Time = 2 years
Rate of interest = 5%
Simple interest earned = 240
Calculating the principal amount:
Simple interest = (p * r * t)/100
240 = (p * 5 * 2)/100
p = 240 * 100 / 10 = 2400
So, the principal amount is 2400.
Calculating the compound interest:
Compound interest formula = p(1+r/n)^(nt) - p
Where p is the principal amount, r is the rate of interest, n is the number of times interest is compounded in a year, and t is the time period.
As the rate of interest is compounded annually,
n = 1
r = 5%
t = 2 years
Compound interest = p(1+r/n)^(nt) - p
= 2400(1+0.05/1)^(1*2) - 2400
= 2400(1.05)^2 - 2400
= 2520 - 2400
= 120
So, the compound interest earned is 120.
Calculating the difference in interest:
Difference in interest = Compound interest - Simple interest
= 120 - 240
= -120
The difference in interest is negative, which means there is no gain in interest by the person. In fact, the person would earn 120 less in compound interest compared to simple interest. Therefore, the correct answer is option A) 6.