Question

the price of article is reduced by 10% by how much per cent must this value be increased to restore it to its former value

Answer 1

Let the original price be Rs a

Price after reduction = a - 10a/100

= a - a /10

= 9a/10

Now,

Difference in prices = a - 9a/10 = a/10

Amount to be increased to restore it former value = a/10

= (a/10) × 100 / (9a/10)

= 100 / 9

= 11.1 %

Answer 2

Answer:

Let a number be 100

Its decreased by 10%= 100- (10/100×100)

= 90

Let the increase % be x

90+(x/100×90)= 100

90+ 90x/100

90x/100= 100-90

x= 10×100/90

x= 100/9 %

Step-by-step explanation:

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