Question

A bottle of wine contains 18.5% ethanol and another bottle of wine contains 24.4% ethanol. If a part of first bottle is replaced by another bottle of wine, then, the percentage of ethanol was found to be 20%. If the total quantity of wine in the second bottle is 150 ml, then, find the quantity of wine in the first bottle?
1. 482 ml
2. 440 ml
3. 880 ml
4. 490 ml

Answer 1

Correct Answer - Option 2 : 440 ml

Given:

First bottle, ethanol = 18.5%

Second bottle, ethanol = 24.4 %

Calculation:

By rule of allegation:

18.5%            24.4%

              20%

4.4%                      1.5%

44                             15

According to question -

⇒ 15 units = 150 ml

⇒ 1 units = 10 ml

⇒ 44 units = 440 ml

∴ The quantity of wine in the first bottle is 440 ml.