Question
A mixture (milk + water + honey) contains β14mβ
litres milk, β21nβ litres water and 49 litres more honey than water. If 25% of the mixture was replaced with 7 litres of milk, then the quantity of water in the resultant mixture becomes 10% less than that of milk. Instead, if 25% of the mixture is replaced with 84 litres of honey, then the ratio of the quantity of milk to that of honey will become 1:2. Find the initial quantity of water in the mixture.Solution
According to the question, If 25% of the mixture was replaced with 7 litres of milk, then the quantity of milk in the resultant mixture = 14m Γ 0.75 + 7 = (10.5m + 7) litres. If 25% of the mixture was replaced with 7 litres of milk, then the quantity of water in the resultant mixture = 21n Γ 0.75 = β15.75nβ litres. ATQ; (10.5m + 7) Γ 0.90 = 15.75n Or, 10.5m + 7 = 15.75n Γ· 0.9 = 17.5n So, 10.5m = (17.5n β 7) β [equation I] If 25% of the mixture was replaced with 84 litres of honey, then the quantity of milk in the resultant mixture = 14m Γ 0.75 = β10.5mβ litres. If 25% of the mixture was replaced with 84 litres of honey, then the quantity of honey in the resultant mixture = (21n + 49) Γ 0.75 + 84 = 15.75n + 36.75 + 84 = (15.75n + 120.75) litres. So, 10.5m:(15.75n + 120.75) = 1:2 Or, 21m = 15.75n + 120.75 β [equation II] Multiplying equation (I) by β2β, we have: 21m = (35n β 14) So, (35n β 14) = (15.75n + 120.75) [from equation 2] Or, 19.25n = 134.75 So, n = 134.75 Γ· 19.25 β 7 Therefore, the initial quantity of water in the mixture = 21 Γ 7 = 147 litres
Which bank has formulated a community banking initiative for the diamond industry that will provide a wide range of services including 24*7 locker acces...
Which of the following art forms of Madhya Pradesh has been recently granted the Geographical Indication ( GI ) tag?
Whom did D Gukesh compete against in the 2024 FIDE World Chess Championship?
Who has been appointed the 28th Controller General of Accounts (CGA)?
Who has become the first Indian lawyer to receive the 'Medal of Honour' from the World Jurist Association (WJA)?
How much did NLC India Ltd contribute to the Tamil Nadu Chief Minister's Public Relief Fund for flood - affected people?
On 4th January, 2023, which state celebrated the Gaan Ngai festival which is the major festival of the state.
- Who led Indiaβs delegation at the 69th Session of the Commission on the Status of Women (CSW) at the UN Headquarters in New York in March 2025?
Which of the following countries has become the largest producer of sugar?
The National Health Authority (NHA) announced 100 microsite projects to accelerate the adoption of the Ayushman Bharat Digital Mission (ABDM) nationwide...