Multiple choice

Manish sells a Mobile Phone at a profit of 20%. If he had bought it at 20% less and sold it for Rs. 180 less, he would have gained 25%. Find the cost price of the Mobile Phone.

  1. Rs. 1000

  2. Rs. 800

  3. Rs. 850

  4. Rs. 900
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = x. SP = 1.2x. New CP = 0.8x. New SP = 1.2x - 180. Profit = 25%, so 1.2x - 180 = 1.25 * 0.8x = 1x. 0.2x = 180 => x = 900.

AI explanation

Let the original cost price be C, so the original selling price for a 20% profit is 1.20C. The new cost price is 20% less, which is 0.80C. The new selling price is Rs. 180 less than the original, so it is 1.20C - 180, and this yields a 25% profit, making it equal to 1.25 * 0.80C. Solving the equation 1.20C - 180 = C results in 0.20C = 180, which means the cost price is Rs. 900.

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