A mango juice is made by mixing water and mango concentrate in the ratio 9 : 7. If x litres of water and 3x litres of mango concentrate is mixed in 160 litres of mango juice, then the new ratio becomes 13 : 14. What is the quantity of the new mango juice (in litres)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 216.
Initial ratio of water and mango = 9 : 7
New ratio = 13 : 14
According to the given question,
Total water = (9/16) × 160 + x = 90 + x
Total mango concentrate = (7/16) × 160 + 3x = 70 + 3x
⇒
⇒ 14(90 + x) = 13(70 + 3x)
⇒ 1260 + 14x = 910 + 39x
⇒ 25x = 350
⇒ x = 14
Total quantity of mango juice = 160 + x + 3x
⇒ 160 + 4x
⇒ 160 + 56 = 216