Multiple choice

Yogita sold a plasma TV at a gain of 20% to Shyamla. Shyamla sold it to Deepa at a profit of 10%. If Deepa had to pay Rs. 33,000 for the plasma TV, find its cost price for Yogita.

  1. Rs. 30,000

  2. Rs. 25,000

  3. Rs. 35,000

  4. Rs. 40,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price for Yogita be x. After 20% gain, price for Shyamla is 1.2x. After 10% gain, price for Deepa is 1.2x * 1.1 = 1.32x. Setting 1.32x = 33000, x = 33000 / 1.32 = 25000.

AI explanation

Let the cost price for Yogita be C. Using the successive selling formula, the final selling price is C multiplied by 1.20 and then by 1.10. Setting this equal to 33000 gives C times 1.32 = 33000. Solving for C gives a cost price of 25000.

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