Divide ₹12,100 into 2 parts such that when these are invested for 3 and 4 years, respectively, at the rate of 6% per annum simple interest, the amount received are equal. What is 75% of the difference between the 2 parts (in ₹)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 225.
Calculations:
Let x and y be the two parts
Now according to the question,
⇒ x + (x × 3 × 6)/100 = y + (y × 4 × 6)/100
⇒ 118x/100 = 124y/100
⇒ x/y = 62/59
Total amount = x + y = 62 + 59 = 121 units
⇒ 12100 = 121 units
⇒ 1 unit = 100
Value of x = 6200
Value of y = 5900
Required amount = (y - x) × 3/4
⇒ (6200 - 5900) × 3/4 = 225