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The difference in number of red and blue pants is 70 and average number of red and blue pants in a box is 125. If 25% of red pants and certain percentage of blue pants are sold then, total number of sold quantity of red and blue pants is 67. The number of unsold blue pants are what percent of number of unsold red pants?

The difference in number of red and blue pants is 70 and average number of red and blue pants in a box is 125. If 25% of red pants and certain percentage of blue pants are sold then, total number of sold quantity of red and blue pants is 67. The number of unsold blue pants are what percent of number of unsold red pants? Correct Answer 52.5%

Let number of red and blue pants be B and R respectively.

Given,

R – B = 70 …………….. (i)

(R + B)/2 = 125

⇒ R + B = 250 ………………. (ii)

On solving (i) and (ii), we get

R = 160 and B = 90

Given,

⇒ 67 = (160 × 25/100) + (90 × (?/100))

⇒ 67 = 40 - 9(?/10)

⇒ 27 = 9(?/10)

⇒ ? = 30

Number of unsold blue pants = 90 × 70/100 = 63

Number of unsold red pants = 160 × 75/100 = 120

Required percentage =

= (63/120) × 100

= 52.5%

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