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ICSE Class 8 Answered

The price of a notebook was increased by x percent. To bring the price to the earlier level, it had to be reduced by 50/3 percent. Find out the value of x 
Asked by gangadar2598 | 11 Mar, 2019, 08:43: PM
answered-by-expert Expert Answer
Let the initial price - Rs.100
 
increase = x %  , hence price after increase = Rs. (100+x) ........................(1)
 
if (50/3) % has to be reduced after increase, amount to be rduced for Rs.(100+x) = Rs.  begin mathsize 12px style fraction numerator 100 plus x over denominator 100 end fraction cross times open parentheses 50 over 3 close parentheses end style  ...................(2)
If amount in eqn.(2) is subtracted from the amount in eqn.(1)  we get the initial price Rs.100
 
Hence,
  begin mathsize 12px style open parentheses 100 space plus space x space close parentheses space minus space fraction numerator 100 plus x over denominator 100 end fraction cross times 50 over 3 space equals space 100 left parenthesis 100 plus x right parenthesis open square brackets space 1 space minus space 50 over 300 close square brackets space equals space 100 left parenthesis 100 plus x right parenthesis 250 over 300 equals 100 space space space space space o r space space space open parentheses space 100 space plus x space close parentheses space equals space 120 space space space space o r space space x space equals space 20 end style
 
Hence 20% was the increase made to initial price
Answered by Thiyagarajan K | 11 Mar, 2019, 10:58: PM

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