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A sum becomes Rs. 34400 in 6 years on simple interest at the rate of 12 percent per annum. What is the total interest for the 6 years?

ARs. 16800

BRs. 17200

CRs. 14400

DRs. 15400

Answer:

C. Rs. 14400

Read Explanation:

Solution:

Given:

Total Amount = Rs 34400

Time = 6 years

R = 12%

Formula Used:

1. SI=PRT100SI =\frac{PRT}{100}

2. SI = Total Amount - P

Where, P = Principal, R = Rate, T = Time(in years)

Calculation:

According to the question,

34400=P+P×12×610034400 = P +\frac{P\times{12}\times{6}}{100}

34400=P(1+72100)34400=P(1+\frac{72}{100})

34400=172P10034400=\frac{172P}{100}

P=Rs.20000P=Rs.20000

SI = 34400 - 20000 = Rs 14400

∴ The total interest for the 6 years is Rs 14400.


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