Multiple choice

A took two loans altogether for Rs. 1200 from B and C. B claimed 14% simple interest per annum, while C claimed 15% per annum. The total interest paid by A in one year was Rs. 172. Then, A borrowed

  1. Rs. 800 from C

  2. Rs. 625 from C

  3. Rs. 400 from B

  4. Rs. 800 from B
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the amount borrowed from B and (1200 - x) be the amount from C. The interest equation is 0.14x + 0.15(1200 - x) = 172. Solving this gives 0.14x + 180 - 0.15x = 172, so 0.01x = 8, meaning x = 800.

AI explanation

Let the amount borrowed from B be x, making the amount borrowed from C equal to (1200 - x) rupees. Using the simple interest formula for one year, the total interest equation is (x * 14 * 1) / 100 + ((1200 - x) * 15 * 1) / 100 = 172. Multiplying by 100 gives 14x + 18000 - 15x = 17200, meaning x is 800 rupees borrowed from B.

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