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Question : A man borrowed some money and agreed to pay it off by paying Rs. 3,150 at the end of the 1st year and Rs. 4,410 at the end of 2nd year. If the rate of Compound interest is 5% per annum, then the sum is:

Option 1: Rs. 5,000

Option 2: Rs. 6,500

Option 3: Rs. 7,000

Option 4: Rs. 9,200


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: Rs. 7,000


Solution : Given: $A$ = Rs. 4,410, $R$ = 5% and $t$ = 2 years
We know that $A=P(1+\frac{R}{100})^{t}$
⇒ $4410=P(1+\frac{5}{100})^{2}$
⇒ $4410=P×\frac{21}{20}×\frac{21}{20}$
⇒ $P=4410×\frac{20}{21}×\frac{20}{21}$
⇒ $P=4000$
Again, A = Rs. 3150, R = 5% and t = 1 year
⇒ $3150=P(1+\frac{5}{100})^{1}$
⇒ $3150=P×\frac{21}{20}$
⇒ $P=3150×\frac{20}{21}$
⇒ $P=3000$
$\therefore$ Total sum = 4000 + 3000 = 7000
Hence, the correct answer is Rs. 7,000.

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