Question
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?Solution
Pâ Ă 2/5 = Pâ Ă 3/7 P1/P2= 15/14 Pâ : Pâ = 15 : 14 Then Pâ = 15x and Pâ = 14x Sum of Simple Interest of both is 2262 i.e. (15x Ă 8 Ă3)/100 + (14x Ă15 Ă4)/(2 Ă100)=2262 Now 7.8 x = 2262 So, x = (2262/78) Ă 10 = 290 Therefore, Sum invest in 1st Part = 290 Ă 15 = Rs. 4350 Sum invest in 2nd part = 290 Ă 14 = Rs. 4060
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