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A number when decreased by 12.5% becomes 119. The number is (A) 130 (B) 125 (C) 148 (D) 136
Question

A number when decreased by 12.5% becomes 119. The number is (A) 130 (B) 125 (C) 148 (D) 136

A.

130

B.

125

C.

148

D.

136

Correct option is D


Let the original number be x. According to the problem, when the number is decreased by 12.5%, it becomes 119.

  • 12.5% decrease means the remaining value is (100 - 12.5) = 87.5% of the original number.
  • Mathematically,
    x×87.5100=119x \times \frac{87.5}{100} = 119​​
  • Solving for x:x=119×10087.5x = \frac{119 \times 100}{87.5}
  • x=1190087.5=136x = \frac{11900}{87.5} = 136​​​

Thus, the correct answer is (D) 136.

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