Let take the cost of the entry ticket initially and at present to be 10x and 13x respectively. And let the number of visitors initially and at present be 6y and 5y respectively. Therefore,...
From the question we have, Increased (new) bus fare = (9/7) x original bus fare (i) Increased (new) bus fare= \[=~9/7\text{ }*\text{ }Rs\text{ }245\text{ }=\text{ }Rs\text{ }315\] Thus, the increase...
On assuming that the same amount of work is done one day by all the men and one day work of each man = 1 units, we get Amount of work done by (x – 2) men in (4x + 1) days = Amount of work done by (x...
The pocket money of Ravi and Sanjeev are in the ratio 5: 7 Thus, we assume the pocket money of Ravi as 5k and that of Sanjeev as 7k. Also, The expenditure of Ravi and Snajeev are in the ratio 3: 5...
Let the number of boys be 3x. Then, the number of girls = 2x \[\begin{array}{*{35}{l}} \Rightarrow \text{ }3x\text{ }+\text{ }2x\text{ }=\text{ }630 \\ 5x\text{ }=\text{ }630 \\ x\text{ }=\text{...
B: C = 4: 3 so, B/C = 4/3 ⇒ C = (3/4) B And, A = (2/5) B Since, \[\begin{array}{*{35}{l}} A\text{ }+\text{ }B\text{ }+\text{ }C\text{ }=\text{ }Rs\text{ }1290 \\ \left( 2/5 \right)\text{ } B\text{...
\[\left( 2x\text{ }-\text{ }y \right)/\text{ }\left( x\text{ }+\text{ }2y \right)\text{ }=\text{ }8/11\] On cross multiplying, we get \[\begin{array}{*{35}{l}} 11\left( 2x\text{ }-\text{ }y...
Given, \[{{x}^{2}}~+\text{ }6{{y}^{2}}~=\text{ }5xy\] Dividing by y2 both side, we have Let \[\begin{array}{*{35}{l}} x/y\text{ }=\text{ }a \\ =>\text{ }{{a}^{2}}~\text{ }-5a\text{ }+\text{...
SOLUTION: Since, \[\begin{array}{*{35}{l}} 3\left( m\text{ }+\text{ }n \right)\text{ }=\text{ }2\left( m\text{ }+\text{ }3n \right) \\ 3m\text{ }+\text{ }3n\text{ }=\text{ }2m\text{ }+\text{ }6n ...
Let x be subtracted from each term of the ratio 9: 17. 27 – 3x = 17 – x 10 = 2x x = 5 Therefore, the required number that should be subtracted is 5.
Let the required number to be x/y Since, Ratio of \[8/21\text{ }to\text{ }4/9\text{ }=\text{ }\left( 8/21 \right)/\text{ }\left( 4/9 \right)\text{ }=\text{ }\left( 8/21 \right)\text{ }x\text{...
Since, \[\begin{array}{*{35}{l}} \left( a\text{ }\text{ }-b \right)/\text{ }\left( a\text{ }+\text{ }b \right)\text{ }=\text{ }1/\text{ }11 \\ 11a\text{ }\text{ }-11b\text{ }=\text{ }a\text{...
Since, a: b = 3: 8 Therefore, a/b = 3/8
Since, x: y = 4: 7 Therefore, x/y = 4/7
Since, a: b = 5: 3 Therefore, a/b = 5/3 Now,