Investor V placed Rs. (a + 3000) in a compound interest account with an annual interest rate of r%, compounded annually for a span of 2 years. Simultaneously, investor T invested Rs. (a – 2000) in a simple interest account with an interest rate of (r – 2)% p.a. for a duration of 3 years. The cumulative interest earned by both investors amounted to Rs. 12360. Additionally, investor A contributed Rs. (a + 8000) in a simple interest account with a 15% interest rate for 3 years, accumulating an interest of Rs. 13500. The enigma to unravel is the value of 'r'.
According to the question, Simple interest received by A = Rs. 13500 (a + 8000) × 15% × 3 = 13500 (a + 8000) = 30000 a = 22000 Amount invested by V = Rs. 22000 + 3000 = Rs. 25000 Amount invested by T = 22000 – 2000 = Rs. 20000 The total interest received by V and T = Rs. 12360 [25000 × (1 + r/100)2 – 25000] + [20000 × (r – 2)% × 3] = 12360 25000 × (1 + r/100)2 – 25000 + 600(r – 2) = 12360 25000 × (1 + r2/10000 + r/50) – 25000 + 600(r – 2) = 12360 25000 + 2.5r2 + 500r – 25000 + 600(r – 2) = 12360 2.5r2 + 500r + 600r – 1200 = 12360 2.5r2 + 1100r = 13560 r2 + 440r – 5424 = 0 r2 + 452r – 12r – 5424 = 0 r(r + 452) – 12(r + 452) = 0 (r + 452)(r – 12) = 0 r = -452, 12 Rate of interest cannot be negative. So, r = 12
What treatment is recommended for controlling external parasites like gill flukes in fish?
If the dry matter yield of maize grain is 2000kg and moisture % in grain is 15% then what will be the grain yield?
What is he optimum plant population for wheat crop?
Which of the following pair is not correctly matched?
The bulk density of sandy soil is about 1.6 g/cc. what is the approximate value of bulk density for organic matter
When rocks break down because of chemical reactions, it is called ______.
How much premium will be provided for each 0.1% increase in recovery rate over and above 10.25%?
Biuret is formed during manufacturing of urea when temperature goes high above 150 degree Celsius and is toxic to plants when concentration is more than...
Where is the ICAR-Central Institute for Arid Horticulture located?
A soil that has been saturated, then allowed to drain freely without evaporation until drainage effectively ceases is said to be at