Multiple choice

A man sold $18$ cots for $R s .16800 ,$ gaining thereby the cost price of $3$ cots. The cost price of a cot is

  1. $Rs.650$
  2. $Rs.700$
  3. $Rs.750$
  4. $Rs.800$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be the cost price of one cot. Selling 18 cots for 16800 means 18 * SP = 16800. The gain is 3 * CP, so 18 * SP - 18 * CP = 3 * CP, which simplifies to 18 * SP = 21 * CP. Substituting 16800 for 18 * SP, we get 16800 = 21 * CP, so CP = 800.

AI explanation

Let the cost price of one cot be x. Using the profit formula, Selling Price = Cost Price + Profit. So, 16800 = 18x + 3x, which means 16800 = 21x. Dividing 16800 by 21 gives x = 800. The cost price of a cot is Rs. 800.

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