A person invests money in three different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is = ?

Answer: Option A

Let the principal in each case = 100 units According to the question,

		1st part	2nd part	3rd part
Principal	→	100x6	100x3	100x2
Rate %	→	10	12	15
Time	→	6	10	12
Interest	→	60x6	120x3	180x2

Interest Interest is same in each, so equal the interest.
Hence required ratio
= 600 : 300 : 200 of sum
= 6 : 3 : 2