Answer :
Answer:
Bismillah Khan made a valuable contribution to the world of music through the ‘shehnai’. For this, he was honoured with India’s highest civilian honour – the Bharat Ratna in 2001. He hailed from a family of musicians. He improvised many new ragas with the shehnai and thus, placed it among other classical musical instruments. He won accolades on the international level too.
The Mughal Emperor Aurangzeb banned the playing of the pungi in his royal court. He disliked the sound and so, the pungi was termed to be a noisemaker. A barber tried to improve the pungi’s tone. He got a hollow stem, wider and longer than the pungi, made seven holes on it and blew into it, closing and opening the holes. It produced soft, melodious music. As this instrument had been developed by a barber called ‘nai’ in India and was played in the king’s court called ‘shah’, the instrument was named ‘shehnai’. The shehnai became a part of auspicious occasions. It was a part of the group of nine musical instruments that were played at the royal court.
Answer:
To find the time \( T \), principal amount \( A \), and the total amount \( A \), we can use the formulas for Simple Interest (SI).
Given:
- Principal \( P = 400 \)
- Rate of interest \( R = 6\% \)
- Simple Interest \( SI = 72 \)
**1. Calculating Time (\( T \)):**
The formula for Simple Interest is:
\[ SI = \frac{P \times R \times T}{100} \]
Substitute the given values:
\[ 72 = \frac{400 \times 6 \times T}{100} \]
Solve for \( T \):
\[ 72 = \frac{2400 \times T}{100} \]
Multiply both sides by \( \frac{100}{2400} \):
\[ 72 \times \frac{100}{2400} = T \]
\[ T = \frac{7200}{2400} \]
\[ T = 3 \]
So, the time \( T \) is \( 3 \) years.
**2. Calculating Amount (\( A \)):**
The total amount \( A \) is given by:
\[ A = P + SI \]
Substitute \( P = 400 \) and \( SI = 72 \):
\[ A = 400 + 72 \]
\[ A = 472 \]
Therefore, the principal amount \( A \) is \( 472 \).
**Summary:**
- Time \( T \) = \( 3 \) years
- Principal amount \( A \) = \( 472 \)
- Total amount \( A \) = \( 472 \)
Step-by-step explanation:
Sure, let's go through the calculations step by step to find the time \( T \), principal amount \( A \), and total amount \( A \).
**Given:**
- Principal \( P = 400 \) (this is the initial amount of money)
- Rate of interest \( R = 6\% \) (expressed as a percentage)
- Simple Interest \( SI = 72 \) (the amount of interest earned over time)
**1. Calculating Time (\( T \)):**
The formula for Simple Interest (SI) is:
\[ SI = \frac{P \times R \times T}{100} \]
Where:
- \( P \) is the principal amount
- \( R \) is the rate of interest per annum (in percentage)
- \( T \) is the time period in years
Given \( P = 400 \), \( R = 6\% \), and \( SI = 72 \):
Substitute these values into the formula:
\[ 72 = \frac{400 \times 6 \times T}{100} \]
To solve for \( T \):
1. Calculate \( 400 \times 6 = 2400 \).
2. Divide both sides by \( 100 \):
\[ \frac{72}{100} = \frac{2400 \times T}{100} \]
3. Simplify the equation:
\[ 0.72 = 24T \]
4. Divide both sides by \( 24 \):
\[ T = \frac{0.72}{24} \]
5. Simplify:
\[ T = 3 \]
Therefore, \( T = 3 \) years.
**2. Calculating Amount (\( A \)):**
The total amount \( A \) is the sum of the principal \( P \) and the Simple Interest \( SI \):
\[ A = P + SI \]
Given \( P = 400 \) and \( SI = 72 \):
\[ A = 400 + 72 \]
\[ A = 472 \]
Therefore, the principal amount \( A \) is \( 472 \).
**Summary:**
- Time \( T \) = \( 3 \) years
- Principal amount \( A \) = \( 472 \)
- Total amount \( A \) = \( 472 \)
These calculations show how to find the time period \( T \), the principal amount \( A \), and the total amount \( A \) using the formulas for Simple Interest.