Question
Solution
(x + 20)% of 250 = 125% of x% of 220 ⇒ (x + 20)% × 250 = 125% × x% × 220 ⇒ (x + 20)/100 × 250 = 125/100 × x/100 × 220 ⇒ (x + 20) = 5 × x/100 × 22 ⇒ (x + 20) = x/20 × 22 ⇒ x + 20 = 11x/10 ⇒ 11x/10 – x = 20 ⇒ x/10 = 20 ⇒ x = 200 10% of (x + 50) ⇒ 10/100 × 250 ⇒ 25 15% of x ⇒ 15/100 × 200 ⇒ 30 Required percent = (30 – 25)/30 × 100 ⇒ Required percent = 5/30 × 100 ⇒ Required percent = 50/3 = 16 (2/3)%
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