Explain steps involved in scientific method with an example
Answers
Answer:
G I V E N :
A person invested a sum of money for 5years at the rate of 6% per annum simple interest. after 5 years, he re invested the same principal for 6 years at the rate of 8% per annum simple interest. If the total interest earned from both these investments is Rs.12480, find the sum invested by him.
S O L U T I O N :
Case I
According to the question we are given with several datas. They are
Let the principal be P
Time (T) = 5 years
Rate (R) = 6 % p.a
Now, to get the simple interest we need to apply
\sf{S.I. = \frac{P × R × T}{100}}S.I.=100P×R×T
\sf{S.I. = \frac{P × 6 × 5}{100}}S.I.=100P×6×5
\sf{S.I. = \frac{30P}{100}}S.I.=10030P
\star \: \underline{ \boxed{\sf{ \pink{S.I. = \frac{3P}{10}} }}}⋆S.I.=103P
For case 1 we got the simple interest as 3P/10
Case II
Now, here also we are loaded with the new datas. Noting them down
The pricipal is P1
Time (T1) = 6 years
Rate (R1) = 8 % p.a
Now, getting the simple interest for case II
\sf{S.I. = \frac{P_{1} × R_{1} × T_{1}}{100}}S.I.=100P1×R1×T1
\sf{S.I. = \frac{P× 8×6}{100}}S.I.=100P×8×6
\sf{S.I. = \frac{48P}{100}}S.I.=10048P
\star \: \underline{ \boxed{ \sf{ \red{S.I. = \frac{12P}{25}} }}}⋆S.I.=2512P
For case II the interest is 12P/25
Now, adding both these cases which equals the total interest earned
Case I + Case II = Total Interest earned
\rightharpoonup \sf{ \frac{3P}{10} + \frac{12P}{25} = 12480 }⇀103P+2512P=12480
Now, getting the L.C.M. The L.C.M of 10, 25 is 50
\rightharpoondown\sf{ \frac{3P ( 5)}{10 ( 5)} + \frac{12P(2)}{25(2)} = 12480 }⇁10(5)3P(5)+25(2)12P(2)=12480
\rightharpoonup \sf \frac{15P}{50} + \frac{24P}{50} = 12480⇀5015P+5024P=12480
\rightharpoondown \sf \frac{39P}{50} = 12480⇁5039P=12480
\rightharpoonup \sf39P = 12480(50)⇀39P=12480(50)
\rightharpoondown \sf39P = 624000⇁39P=624000
\rightharpoonup \sf P = \frac{624000}{39}⇀P=39624000
\star \: \: \boxed{ \green{\frak{ {\sf P} = 16000}}}⋆P=16000
Hence, the sum invested is ₹ 16000
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The scientific method was first outlined by Sir Francis Bacon (1561-1626) to provide logical, rational problem solving across many scientific fields.
The basic steps of the scientific method are:
1) make an observation that describes a problem,
2) create a hypothesis,
3) test the hypothesis, and
4) draw conclusions and refine the hypothesis.
The major precepts of the scientific method employed by all scientific disciplines are verifiability, predictability, falsifiability, and fairness.
The application of the scientific theory to psychology took the discipline from a form of philosophy to a form of science.
Critical thinking is a key component of the scientific method.
Without it, you cannot use logic to come to conclusions.
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