Given• A mixed juice contains, by volume, 25 percent banana pulp and 75 percent papaya pulp.
• The mixed juice costs 20 percent more than an equal quantity of only banana pulp
To find• The percent by which papaya pulp is more expensive than banana pulp.
Approach and Working out:
Price of the mixed juice = Price of 25% banana pulp + price of 75% papaya pulp
• 120% of price of 100% banana pulp = Price of 25% banana pulp + price of 75% papaya pulp
• 1.2 (price of 25% banana pulp + price of 75% banana pulp) = Price of 25% banana pulp + price of 75% papaya pulp
• 0.2 × price of 25% banana pulp + 1.2 × price of 75% banana pulp = Price of 75% papaya pulp
• 0.2 × price of 25% banana pulp + 1.2 × 3 × price of 25% banana pulp = Price of 75% papaya pulp
• Price of 25% banana pulp (0.2 + 3.6) = 3 × Price of 25% papaya pulp
• 3.8 × Price of 25% banana pulp = 3 × Price of 25% papaya pulp
• 3.8 /3 = price of 25% papaya pulp / price of 25% banana pulp
• Price of 25% papaya pulp / price of 25% banana pulp ×100 = \(\frac{3.8 }{3}\) × 100
o =\(\frac{ 3.6 +0.2 }{3 }\)× 100
o 120% + 6.67% = 126.67%
Hence, the price of papaya pulp is 26.67% more than the price of banana pulp.
Hence, option B is the correct answer.
Correct Answer: Option B