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The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is
Options:
A .  210
B .  300
C .  240
D .  280
Answer: Option C
Answer: (c)Larger number = x and smaller number = 520 – x ${96x}/100 = {520 - x}/100 × 112$96x = 520 × 112 – 112x112x + 96x = 520 × 112208x = 520 × 112$x = {520 × 112}/208 = 280$Smaller number = 520 – 280 = 240

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