Multiple choice

Three containers of equal volume contains milk and water. The ratios of milk and water are 2 : 3, 3 : 4 and 4 : 5 respectively. Contents of these containers are poured in a large container. The ratio of milk and water in the large container is तीन समान धारिता के बर्तन जिनमें दूध और पानी है | दूध और पानी का अनुपात क्रमशः 2 : 3, 3 : 4 और 4 : 5 है | इन बर्तनों के द्रव को एक बड़े बर्तन में डाला जाता है | बड़े बर्तन में दूध और पानी का अनुपात ज्ञात कीजिये |

  1. 411 : 540

  2. 401 : 544

  3. 417 : 564

  4. 407 : 560

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

Three containers have equal volume. Taking total volume as 3×(2+3) = 15, 3×(3+4) = 21, 3×(4+5) = 27. For LCM of denominators, scale: 2:3 becomes 2/5:3/5, 3:4 becomes 3/7:4/7, 4:5 becomes 4/9:5/9. Taking common denominator 315: milk = (2×63 + 3×45 + 4×35) = 126+135+140 = 401, water = (3×63 + 4×45 + 5×35) = 189+180+175 = 544. Ratio = 401:544.