The proportion of acid and water in three samples is 3 : 2 ,4 : 3 and 5 : 2. A mixture containing equal quantities of all three samples is made. What is the ratio of water and acid in the mixture? तीन मिश्रण में तेजाब और पानी का अनुपात 3: 2, 4: 3 और 5: 2. सभी तीन मिश्रण की बराबर मात्रा को लेकर मिलाया जाता है।नए मिश्रण में पानी और तेजाब का अनुपात क्या होगा ?

In equal quantities (say 1 unit each): Acid total = 3+4+5 = 12 parts. Water total = 2+3+2 = 7 parts. But wait - we need the actual quantities. Sample 1: 3:2 means 3/5 acid, 2/5 water. Sample 2: 4:3 means 4/7 acid, 3/7 water. Sample 3: 5:2 means 5/7 acid, 2/7 water. In 3 units total: Acid = 3/5 + 4/7 + 5/7 = 3/5 + 9/7 = (21+45)/35 = 66/35. Water = 2/5 + 3/7 + 2/7 = 2/5 + 5/7 = (14+25)/35 = 39/35. Ratio water:acid = 39:66 = 13:22.