A person invest some amount in a business into 2 parts. If he invest 1st part at 8% for 3 years and 2nd part invest at 7*1/2% p.a. for 4 years. Total Simple Interest from both instalment is Rs. 2262. If 2/5th of the sum of first investment is equal to 3/7 times of the 2nd investment. Find the sum (principal) of each part?

P₁ × 2/5 = P₂ × 3/7 P1/P2= 15/14 P₁ : P₂ = 15 : 14 Then P₁ = 15x and P₂ = 14x Sum of Simple Interest of both is 2262 i.e. (15x × 8 ×3)/100 + (14x ×15 ×4)/(2 ×100)=2262 Now 7.8 x = 2262 So, x= 2262/78 × 10 = 290 Therefore, Sum invest in 1st Part = 290 × 15 = Rs. 4350 Sum invest in 2nd part = 290 × 14 = Rs. 4060

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