UPPSC PCS - 2015

The price of sugar has increased by 60 % in order to restore the original price, by which percent the new Price must be reduced ?

Year Asked: 2015

A
35%
B
C
40%
D
60%

Detailed Explanation

The correct answer is B, which corresponds to a reduction of 37.5%. The text of option B is blank in the question as recorded, so the value is worked out here directly.

Let the original price be 100. A 60% rise makes it 160. To bring it back to 100, the fall of 60 must be measured on the new base of 160, which gives 60/160 × 100 = 37.5%.

  • A) 35%: 160 minus 35% of 160 gives 104, which is still above the original price.
  • C) 40%: 160 minus 40% of 160 gives 96, which falls short of 100.
  • D) 60%: 160 minus 60% of 160 gives 64, far below the original.

Core concept: successive percentage change. A rise and a fall of the same percentage do not cancel out, because the base changes. This is a basic percentage question in Prelims aptitude, and the same logic helps in Mains when reading inflation or price series.

Trap: Taking 60% of the new price and subtracting it, or assuming that a 60% rise is undone by a 60% fall.

This question appeared in UPPCS 2015 GS Paper 2.

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