A sum of Rs 825 is lent by Ravi in the beginning of a year at a certain rate of interest After...........

Quantitative Aptitude ( CCS) Simple Interest

A sum of Rs. 825 is lent by Ravi in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 360 more is lent but at the rate twice the former. At the end of the year, Rs. 35 is earned as interest from both the loans. What was the original rate of interest?

4.28%

3.28%

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Explanation:

Let the original rate be R%. Then, new rate = (2R)%.
Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. 1/3 year(s).
((825×R ×1)/100)+ ((360×2R ×1)/(100×3))=35
⇒ 8.25 R + 2.4 R = 35
⇒ R = 35/10.65 = 3.28 %