Multiple choice

A certain amount earns simple interest of rs. 1750 after 7 years . had the interest been 2% more, how much more interest would it have earned?

  1. Rs. 35

  2. Rs. 245

  3. Rs. 350

  4. cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The expression (x-a)(x-10)+1 = x^2 - (a+10)x + (10a+1). For this to factor as (x+alpha)(x+beta) with alpha, beta as integers, the discriminant D = (a+10)^2 - 4(10a+1) must be a perfect square, say k^2. Simplifying, a^2 - 20a + 96 = k^2, which leads to (a-10)^2 - k^2 = 4. The integer solutions for (a-10)^2 - k^2 = 4 are (a-10) = +/- 2, giving a = 12 or a = 8.

AI explanation

The simple interest formula is Interest = (Principal * Rate * Time) / 100, which shows that interest depends on both the principal amount and the original interest rate. Since the problem only provides the initial interest earned (Rs. 1750) and the time period (7 years) without stating the base principal or the initial interest rate, we cannot form a solvable equation. Therefore, the exact amount of additional interest earned cannot be determined from the given data.

Keep practicing — related questions