Multiple choice

A sum of Rs. 625 was partly lent at 5% and partly at 10% simple interest. If the interest of the first part after 2 years is equal to that of the second part after 4 years, the first part is

  1. Rs. 125

  2. Rs. 150

  3. Rs. 500

  4. Rs. 115

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the first part, (625-x) the second. (x * 0.05 * 2) = ((625-x) * 0.1 * 4). 0.1x = 0.4(625-x). 0.1x = 250 - 0.4x. 0.5x = 250. x = 500.

AI explanation

Let the first part be x, making the second part (625 - x). Equating their simple interests gives the equation (x * 5 * 2) / 100 = ((625 - x) * 10 * 4) / 100. Simplifying this yields 10x = 40(625 - x), which results in 50x = 25000. Solving for x gives Rs. 500.

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