Multiple choice

A person bought two clocks. The cost price of one of them exceeds by $\displaystyle \frac{1}{4}$ the price of the other. He sold the costlier clock to the dealer at a gain of $10\%$ and the other at a gain of $7.5\%$ and thus got $Rs \ 98$ in all as $SP.$ Find the total cost price of two clocks

  1. $Rs \ 150$
  2. $Rs \ 90$
  3. $Rs \ 75$
  4. $Rs \ 100$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost of the cheaper clock be x. The cost of the costlier clock is 1.25x. Total cost = 2.25x. Selling prices: 1.10 * 1.25x + 1.075 * x = 1.375x + 1.075x = 2.45x. Given 2.45x = 98, so x = 40. Total cost = 2.25 * 40 = 90.

AI explanation

Let the cost prices of the two clocks be 4x and 5x rupees. The first selling price is 110% of 5x, equaling 5.5x, and the second selling price is 107.5% of 4x, equaling 4.3x. The combined selling price is 9.8x, which equals 98 rupees; solving for x gives a value of 10. Therefore, the total cost price of 4x plus 5x is 90 rupees.

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