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# If the interest of N150.00 for 2 ½ years is N4.50, Find the…

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**If the interest of N150.00 for 2 ½ years is N4.50, Find the interest on N250.00 for 6 months at the same rate?**

**A.**** **~~N~~**1.50**

**B.**** **~~N~~**7.50**

**C.**** **~~N~~**15.00**

**D.**** **~~N~~**18.00**

**QUICK ANSWER…**

**A**

**DETAILS…**

**We will have to firstly determine the rate from the first case and then use this same rate to solve for the interest on the second case.**

**Simple interest = PRT/100**

**Where P = principal**

**R = rate in %**

**T = time in years**

**For the first case:**

**Interest = 4.5**

**P = 150**

**R = ?**

**T = 2.5**

**But interest = PRT/100**

**4.5 = (150 ****×**** R ****×**** 2.5)/100**

**4.5 = 375R/100**

**4.5 ****×**** 100 = 375R**

**450 = 375R**

**R = 450/375 = 1.2%**

**For the second case:**

**Interest = ?**

**P = 250**

**R = 1.2**

**T = 6 months = 0.5 years**

**Again, simple interest = PRT/100**

**Simple interest = (250 ****×**** 1.2 ****×**** 0.5)/100**

**= 150/100**

**= **~~N~~**1.50**

**Now for the right answer to the above question:**

**Option A is correct.****Option B is incorrect.****C is incorrect.****D is not the correct answer.**

**KEY-POINTS…**

**You may please note these/this:**

**The steps are clear…****Firstly, make x the subject of the divisor.****Secondly, substitute x for p into the original expression.****Thirdly, we will be left with an equation containing only p, then solve to find p.****If you love our answers, you can login to comment and say hi to us at the comment section…**

**To raise new related question****s, c****lick the ASK A QUESTION BOTTON down this page…**

**/ culled from 2020 JAMB-UTME mathematics past question 34 /**