Multiple choice

Ratio of volumes of two containers A and B is 3:5. Both containers are filled with milk and water and respective ratio is 5:4 and 8:7. If mixture of A and B is mixed in a third container C, find the ratio of milk and water in container C. दो पात्रों A तथा B के आयतन का अनुपात 3: 5 है। दोनों पात्र दूध और पानी से भरें है तथा अनुपात क्रमशः 5: 4 और 8: 7 है। यदि A और B को एक तीसरे पात्र C में मिलाया जाता है, तो पात्र C में दूध और पानी का अनुपात ज्ञात कीजिये ।

  1. 11:13

  2. 13:11

  3. 23:17

  4. 17:23

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let volumes be 3x and 5x. For A: milk:water = 5:4, so milk = 3x × 5/9 = 15x/9 = 5x/3, water = 3x × 4/9 = 12x/9 = 4x/3. For B: milk:water = 8:7, so milk = 5x × 8/15 = 40x/15 = 8x/3, water = 5x × 7/15 = 35x/15 = 7x/3. Total milk = 5x/3 + 8x/3 = 13x/3. Total water = 4x/3 + 7x/3 = 11x/3. Ratio = 13:11.