Discussion
The price of an item is decreased successively by 12 % and 15 % and then resulting price is increased by 25 %. If the final price of the item is ₹ 233.75, then its original price is
Answer: D
The original price is 250 rupees. A 12 % fall leaves 0.88 of the price, a 15 % fall leaves 0.85, and a 25 % rise multiplies by 1.25. \[0.88 \times 0.85 \times 1.25 = 0.935\] So the final price is 0.935 of the original price. Then \[P = \frac{233.75}{0.935} = 250\] Check: 250 x 0.88 = 220, 220 x 0.85 = 187, 187 x 1.25 = 233.75. The options 200, 225 and 240 give 187, 210.4 and 224.4, which do not match.
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