If Rs. 1100 is obtained after lending out Rs. x at 5% per annum for 2 years and Rs. 1800 is obtained after lending out Rs. y at 10% per annum for 2 years, find x + y.a)Rs. 2500b)Rs. 3000c)Rs. 2000d)Rs. 2200Correct answer is option 'A'. Can you explain this answer?

Question

Answer

Given,
Amount received after lending out Rs. x at 5% per annum for 2 years = Rs. 1100
Amount received after lending out Rs. y at 10% per annum for 2 years = Rs. 1800

We can use the formula for simple interest to solve this problem.

Simple Interest formula: S.I. = P * R * T / 100
where P is the principal amount, R is the rate of interest per annum and T is the time period in years.

Using the formula for the first case, we get:
1100 = x * 5 * 2 / 100
1100 = x * 0.1
x = 1100 / 0.1
x = 11000

Using the formula for the second case, we get:
1800 = y * 10 * 2 / 100
1800 = y * 0.2
y = 1800 / 0.2
y = 9000

Therefore, x + y = 11000 + 9000 = Rs. 20000

Hence, the correct answer is option A) Rs. 2500.

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