In simple interest when the time is given in months and days we always need to convert into years.

**Notes:***(i) When “T’ i.e., the time is given in months then it should be divided by 12 to convert into years.(ii) When “T’ i.e., the time is given in days then it should be divided by 365 to convert into years.*

*Solution:*

Principal (P) = $ 2000,

Rate (R) = 6% p.a.

Time (T) = 7 years and 3 months.

[We know, when “T’ i.e., the time is given in months then it should be divided by 12 to convert into years].

= 7 3/12 years.

= 7 ¼ years.

= (7 × 4 + 1)/4 years.

= 29/4 years.

**Simple Interest (SI) = (P × R × T)/100**

Simple Interest (SI) = (2000 × 6 × 29)/(100 × 4)

= 348000/400

= 870

Therefore, *Amount = Principal + Simple Interest*

= 2000 + 870

Therefore, Amount Tim got back = $ 2870

**2.** Kyle borrowed $ 3400 at the rate of 8% p.a. for 225 days. Find the interest and amount she paid.

*Solution:*

Principal = $ 3400,

Rate = 8% p.a.

Time = 225 days.

[We know, when “T’ i.e., the time is given in days then it should be divided by 365 to convert into years].

= 225/365 years.

**Simple Interest = (P × R × T)/100**

= (3400 × 8 × 225)/(100 × 365)

= 6120000/36500

= $ 167.67

*Amount = Principal + Simple Interest*

= 3400 + 167.67

= $ 3567.67

Therefore, Amount paid by Kyle is $ 3567.67.

And the Interest paid by Kyle is $ 167.67.

**Word Problems on Simple Interest.**

**In Simple Interest when the Time is given in Months and Days.**

**To find Principal when Time Interest and Rate are given.**

**To find Rate when Principal Interest and Time are given .**

**To find Time when Principal Interest and Rate are given.**

**Worksheet on Factors affecting Interest**

**5th Grade Numbers Page** **5th Grade Math Problems** **From In Simple Interest when the Time is given in Months and Days to HOME PAGE**

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