Maths-
General
Easy
Question
Arun borrowed Rs 24,000 from Rahul at the rate of 15% per annum simple interest for 4 years. Find the simple interest and the total amount that has to be paid at the end of 4 years.
Hint:
Use the formula for simple interest and then find the total amount.
The correct answer is: 38400 Rupees
Complete step by step solution:
We calculate simple interest by the formula,
…(i)
where P is Principal amount, T is number of years and R is rate of interest
Money borrowed by Arun from Rahul = P = 24000 Rs
Here, we have T = 4,R = 15% and P = 24000
On substituting the known values in (i), we get ![S I equals fraction numerator 24000 cross times 4 cross times 15 over denominator 100 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow S I equals fraction numerator 24000 cross times 4 cross times 15 over denominator 100 end fraction equals 14400](data:image/png;base64,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)
We have SI = 14400 Rupees.
We know the formula for total amount = A = P + SI…(ii)
where A is the total amount, P is the principal amount and SI is simple interest.
On substituting the known values in (ii), we get A = 24000 + 14400 = 38400
Hence total amount to be paid after 4 years = A = 38400 Rupees.
We have SI = 14400 Rupees.
We know the formula for total amount = A = P + SI…(ii)
where A is the total amount, P is the principal amount and SI is simple interest.
On substituting the known values in (ii), we get A = 24000 + 14400 = 38400
Hence total amount to be paid after 4 years = A = 38400 Rupees.
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![2 x squared plus 3 x equals 2 x plus 1](data:image/png;base64,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)
Rewrite the equation as a system of equations, and then use a graph to solve.
![2 x squared plus 3 x equals 2 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Rewrite the equation as a system of equations, and then use a graph to solve.
![4 x squared equals 2 x minus 5](data:image/png;base64,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)
Rewrite the equation as a system of equations, and then use a graph to solve.
![4 x squared equals 2 x minus 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAAARCAYAAABU3BvXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAbFJREFUeNpjYKAd+A/Fv4D4KBCrMIwCugImIM4C4nOjQTEw4MdoENAf2APxwdFgIAx8oOUzNYAktIxXooE7rYF4DRB/gtYlF4A4ehCE3388GCfgAeJrVAp4NSDeAg18WgBQLoqEuhkEtKCRHDkIAp5kMBOIk6kQ8KDA3gbEfHT2tDwQXxpqAQ/KunsJaAZFSgcW8WaoHAyAAl1jEFXkxLqb7gHPBk0p8kRoBjUNxZH4iUA8hYhyjpwy8T+JHrGEFjfkupvuAQ9KDTlEavYA4j4o2wUplww04ADik9CcO5DuhnUcP0FzfhFSPYQC9LCkEkKxthvaTAS1JIQHQaALAvEGIHajorspzYksQGwMxLVAfANb0XsSS5eekKEF0FjVo3HzixgPKkEDnZhhCWq6mxTghq0vQ6qnYe3nvkHQdAOlotlAzEVCu3+g3P2D2FSIK3VtgnoUVG6dGcCiBlRRroJmaQYicsVAulsHiO+SG/Ci0MpCGK2Xu3iAAn4LkU1Wert7HbR1xQTFHtBADyIn4NmgBkpjUbscavhg7JoPhLtDgfgWEP8B4nfQXGk6OhI1CAAAomSUm+N+KuwAAACjdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjQ8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz49PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjwvbWF0aD6qXGPlAAAAAElFTkSuQmCC)
Maths-General