Math, asked by svetajayaprakash, 11 months ago

the difference between simple interest and compound interest on RS.800 at 5 percent per annum for 1 year is

RS.81
RS.41
RS.56.50
None of the above

Answers

Answered by sujalrsuthar
1

Answer:

none of the above is the correct option

compound interest and simple interest for 1 year is exactly same

please mark it BRAINLIEST

Answered by Anonymous
1

Answer:

4. None of the above.

Step-by-step explanation:

Given :-

  • Principal (p) = Rs.800
  • Rate of interest (r) = 5%
  • Time (t or n) = 1 year

To find :-

  • The difference between simple interest and compound interest.
  1. Rs. 81
  2. Rs. 41
  3. Rs. 56.50
  4. None of the above.

Solution :-

Formula used :

{\boxed{\sf{Simple\: interest=\dfrac{ptr}{100}}}}

{\boxed{\sf{Compound\: interest=p\bigg(1+\dfrac{r}{100}\bigg)^n-p)}}}

Now find the simple interest.

  \to \sf \: simple \: interest \:  = \dfrac{800 \times 1 \times 5}{100}  \\  \\  \to \sf \: simple \: interest \:  = 8 \times 5 \\  \\  \to \sf \: simple \: interest \:  = 40

Now find the compound interest.

 \to \sf \: compound \: interest \:  = 800 \bigg(1 +   \dfrac{5}{100}  \bigg) ^{1 }  - 800 \\  \\  \to \sf \: compound \: interest \:  = 800 \bigg \{(1 +  \dfrac{5}{100} )  - 1 \bigg \} \\  \\  \to \sf \: compound \: interest \:  = 800 \bigg( \dfrac{21}{20}  - 1 \bigg) \\  \\  \to \sf \: compound \: interest \:  = 800 \times  \dfrac{1}{20}  \\  \\  \to \sf \: compound \: interest \:  = 40

Difference between simple interest and compound interest = (40-40) = 0

Therefore,

4. None of the above is correct answer.

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