Multiple choice

A lent Rs. $600$ to $B$ and some amount to $C$ at the rate of $8\displaystyle\frac{1}{3}\%$ p.a. simple interest. After $5$ years he got the total interest of Rs. $400$ from $B$ and $C$ together. The amount of moey lent by $A$ to $C$ was

  1. Rs. $300$
  2. Rs. $360$
  3. Rs. $400$
  4. Rs. $420$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rate = 25/3 percent. Interest from B = (600 * 25/3 * 5) / 100 = 250. Total interest is 400, so interest from C = 400 - 250 = 150. Principal for C = (150 * 100) / (25/3 * 5) = 15000 / (125/3) = 15000 * 3 / 125 = 360.

AI explanation

The simple interest formula for the total amount lent is 400 equals ((600 plus Principal C) times 8.33 times 5) divided by 100, which simplifies to 400 equals (600 plus Principal C) divided by 2.4. Solving this gives 600 plus Principal C equals 960, meaning the amount lent to C was Rs. 360.

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