Multiple choice

In a certain sweet shop, 7 boxes of ladoos, each containing the same number of ladoos, are sold. If they sell each ladoo at Rs. 8, then they make a profit of Rs. 90. If there were 1 ladoo less in each box and they sell each ladoo at Rs. 10, then also they gain a profit of Rs. 90 in the transaction. Find the cost price of each box of ladoo.

  1. Rs. 36.34

  2. Rs. 27.14

  3. Rs. 56.72

  4. Rs. 72.32

  5. Rs. 64.12
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of ladoos per box and C be the cost price per box. Total ladoos = 7x. Total CP = 7C. Revenue 1 = 7x * 8 = 56x. Profit = 56x - 7C = 90. Revenue 2 = 7(x-1) * 10 = 70x - 70. Profit = 70x - 70 - 7C = 90. Subtracting equations: (70x - 70 - 7C) - (56x - 7C) = 90 - 90 => 14x - 70 = 0 => x = 5. Substitute x=5: 56(5) - 7C = 90 => 280 - 7C = 90 => 7C = 190 => C = 190/7 = 27.14.

AI explanation

Let x be the initial number of ladoos in each box, making the total number of ladoos 7x. The total cost price is 56x minus 90, based on the first scenario selling at Rs. 8 each. Equating the total cost price from the second scenario, 7 times (x minus 1) times 10 minus 90 equals 56x minus 90, which solves to x equaling 5. The total cost price is (56 multiplied by 5) minus 90, resulting in Rs. 190, and dividing this by the 7 boxes gives the cost price of each box as Rs. 27.14.

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