Multiple choice

Passage

Directions: A dishonest juice seller mixed some water into pure fruit juice and sold it to four shopkeepers X, Y, Z, and W in the same order. After mixing, the ratio of juice to water became 4 : 1. The table below shows how the juice seller handled the transactions: Shopkeepers Quantity Sold (in Litres) Juice Added (in Litres) Water Added (in Litres) Mixture Left (in Litres) X 110 50 0 500 Y M 34 9 N Z 98 3r r P W 95 3r - 6 r T

T is the the final quantity of juice water mixture left. If the ratio of juice to water just before selling to Z was 40 : 9 and the difference between juice and water in the mixture before selling to W is 171 liters. What is the value of T?

  1. 100 litres

  2. 150 litres

  3. 180 litres

  4. 208 litres

  5. 230 litres

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

With r equal to 8, the mixture before selling to W has 224 liters of juice and 53 liters of water, totaling 277 liters. Shopkeeper W is sold 95 liters, leaving 182 liters of mixture. To prepare the final mixture, adding 3r - 6 liters of juice equals 18 liters, and adding r liters of water equals 8 liters, which brings the final total T to 182 + 18 + 8 = 208 litres.