Change given pn borrowed money is ______
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When a person is borrowed money from bank or some other resources, interest is charged for the use
of that money over a certain period of time. The amount of interest charged depends on the amount of
money borrowed, the interest rate and the length of time for which the money is borrowed.
The money we borrow is known as sum borrowed or principal. For keeping this money for some time
the borrower has to pay some extra money to the bank or other resources. This is known as Interest.
Simple interest is a quick and easy method of calculating the interest charge on a loan.
The formula for calculating simple interest is:
Simple interest (SI) = (P * R * T)/100
P: Principal (original amount)
R: Rate of Interest (in %)
T: Time period (yearly, half-yearly etc.)
We can find the amount we have to pay at the end of the year by adding the sum borrowed and the
interest. That is, Amount = Principal + Interest.
=> A = P + SI
Problem: Find the amount to be paid at the end of 3 years in each case:
(a) Principal = ₹1,200 at 12% p.a. (b) Principal = ₹ 7,500 at 5% p.a.
Solution:
(a) Here, Principal (P) = ₹1,200, Rate (R) = 12% p.a., Time (T) = 3 years
Simple Interest = (P * R * T)/100
= (1200 * 12 * 3)/100
= 12 * 12 * 3
= ₹ 432
Now, Amount = Principal + Simple Interest
= ₹1200 + ₹432 = ₹1,632
(b) Here, Principal (P) = ₹7,500, Rate (R) = 5% p.a., Time (T) = 3 years
Simple Interest = (P * R * T)/100
= (7500 * 5 * 3)/100
= 75 * 5 * 3
= ₹1,125
Now, Amount = Principal + Simple Interest
= ₹7,500 + ₹1,125 = ₹ 8,625
Problem: What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?
Solution:
Here, Principal (P) = ₹56,000, Simple Interest (S.I.) = ₹280, Time (T) = 2 years
Simple Interest = (P * R * T)/100
=> 280 = (56000 * R * 2)/100
=> R = (280 * 100)/(56000 * 2)
=> R = 28/(56 * 2)
=> R = 1/(2 * 2)
=> R = 1/4
=> R = 0.25%
Hence, the rate of interest on sum is 0.25%.
Problem: If Meena gives an interest of ₹45 for one year at 9% rate p.a. What is the sum she has
borrowed?
Solution:
Simple Interest = ₹45, Rate (R) = 9% p.a., Time (T) = 1 years
Simple Interest = (P * R * T)/100
=> 45 = (P * 9 * 1)/100
=> 45 = 9P/100
=> 9P = 45 * 100
=> P = (45 * 100)/9
=> P = 5 * 100
=> P = 500
Hence, she borrowed ₹ 500.
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