The price of an article is first decreased by 20% and then increased by 30%. If the resulting price is Rs.416, the original price of the article is
Options:
A . Rs.405
B . Rs.450
C . Rs.400
D . Rs.350
Answer: Option C Answer: (c) If the original price of article be Rs.x, then $x × 80/100 × 130/100$ = 416 $x = {416 × 100 × 100}/{80 × 130}$= Rs.400 Using Rule 5, Let the number be x The number increases by $(- 20 + 30 - {20 × 30}/100)$% = 4% $x + {4x}/100$ = 416 ${104x}/100$ = 416 ⇒ x = 400
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