# If the Difference in Interests for Two Periods was Rs. 220, then each sum is:

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Two equal sums of money were lent at simple interest at 10% per annum for 4 years and 5 years respectively. If the difference in interests for two periods was Rs. 220, then each sum is:

- Rs. 2200
- Rs. 2000
- Rs. 1800
- None of these

Best answer

**Answer: (4) None of these**

**Explanation:-**

**Given-**

Rate = 10 %, T = 4 & 5 years Difference of the S I = Rs.220

Let the principal is Rs.X.

**Formula-**

**Simple Interest = P x R x T/100**

**Where, P = principal , R = rate, & T = time.**

According to the question,

P x 10 x 5/100 – P x 10 x 4/100 = 220

P/2 – 2 P /5 = 220

(5 P – 4 P)/5 = 220

P = 220 x 5

P = Rs.1100

Hence, the principal is Rs.1100.