Question
A mixture contains ‘X’ liter milk and ‘Y’ liter
water. If 30 liter of mixture is taken out and replaced with water, then the quantity of milk and water becomes equal. But, if 60 liter of mixture is taken out and replaced with water, then quantity of milk becomes half of the quantity of water. Find the value of X and Y.Solution
Mixture contains total (X + Y) liters ATQ, X– [30X/((X+Y))] = Y– [30Y/(X+Y)]+30  X² + XY – 30X = XY + Y² – 30Y + 30X + 30Y ⇒ X² – Y² = 60X…(i) And, 2[X–60X/(X+Y)]=[Y–60Y/(X+Y)+60] 2X² + 2XY – 120X = XY + Y² – 60Y + 60X + 60Y  2X2+ XY = 180X +Y2  …(ii) Subtract (i) from (ii) X² + XY = 120X  X + Y = 120ℓ   …(iii) But X² – Y² = 60X ⇒ (X + Y) (X – Y) = 60X ⇒ 2 (X – Y) = X ⇒ 2X – 2Y = X ⇒ X = 2Y   …(iv) By using (iii) & (iv) ⇒ Y = 40ℓ And X = 80ℓ
Which among the following may be defined as the cost of raising an additional rupee of capital?
Interpersonal communication is a soft skill that encompasses how well an individual communicates with others, Interpersonal communication is also known ...
A current account maintained by a domestic bank with a foreign bank, in a foreign country is known as?Â
What facility allows for the daily infusion and absorption of liquidity by utilizing government securities as collateral?
Which of the following are not TRUE about CERSAI?
1.   CERSAI’s full form is Central Registry of Securitization Asset Reconstruction and ...
Collateralized Borrowing and Lending obligation is a money market instrument for the benefit for entities not having access to the interbank call money ...
Which of the following criteria is not true with respect to Stand Up India Scheme?
How does inflation in a country affect its currency's exchange rate?
As per section 47 of Companies Act, 2013, every member of a company limited by shares and holding equity share capital shall have a right to vote on eve...
FIMMDA is a voluntary market body for the bond, money, and derivatives markets, with members representing all major institutional segments. What does FI...