Question

By mistake a clerk, calculated the simple interest on principal for 5 months at 6.5%p.a. instead of 6 months at 5.5% p.a. if the error in calculation was 25.40. the original sum of principal was​

Answer 1

Original sum of principal was Rs. 50.8.

Step-by-step explanation:

Since we have given that

Rate of interest = 6.5%

Number of months = 5

If the rate of interest = 5.5%

Number of months = 6

Error = Rs. 25.40

So, it becomes,

$\dfrac{P\times 5.5\times 6}{100\times 12}-\dfrac{P\times 6.5\times 5}{100\times 12}=25.40\\\\\dfrac{33}{1200}-\dfrac{32.5}{1200}\times P=25.40\\\\\dfrac{33-32.5}{1200}\times P=25.40\\\\0.5\times P=25.40\\\\P=\dfrac{25.40}{0.5}\\\\P=50.8$

Hence, Original sum of principal was Rs. 50.8.

# learn more:

Raghav borrowed Rs. 10000 from her friends vismaya at. 6 % per annum simple interest for 2 years . Had he borrowed this sum at 6 % per annum compound interest what excess amount would he have to pay to her ..

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