A person invested a total of ₹9,000 in three parts at 3%, 4% and 6% per annum on simple interest. At the end of a year, he received equal interest in all the three cases. The amount invested at 6% is:
Answer & explanation
Correct answer: option 1
We know ,
Simple Interest = \(\frac{Principal ×Rate × Time }{100}\)
Let amount invested be A , B & C respectively.
\(\frac{A×3 × 1 }{100}\) = \(\frac{B ×4 × 1 }{100}\) = \(\frac{C ×6 × 1 }{100}\)
3A = 4B = 6C
Ratio of amount invested are in ratio ,
A : B : C = 4 : 3 : 2
ATQ,
( 4 + 3 + 2 )R = 9000
9R = 9000
1R = 1000
Amount invested at 6% = 2R = 2 × 1000 = Rs. 2000