Proportion

If $\mathrm{a}=3\mathrm{b}$, $4\mathrm{b}=5\mathrm{c}$, $6\mathrm{c}=7\mathrm{d}$, then what is $\frac{\mathrm{d}+\mathrm{a}}{\mathrm{d}-\mathrm{a}}$ equal to?

A shopkeeper mixes two varieties of rice A and B in the ratio $1:2$ respectively. Rice A costs $₹40$ per kg and rice B costs $₹50$ per kg. He sold the mixture for $₹4500$ and made a profit of $25\%$. What is the quantity of rice B in the mixture?

Deer and Ostrich are in the same cell in a zoo. The total number of heads is $320$ and the total number of legs is $900$. Find the ratio of the total number of ostrich to the total number of deer.

The ratio of mixture of two type of rice A and B is $4:5$. $25 \mathrm{kg}$of type A rice added in the mixture. The ratio of Type A rice to the type B ratio becomes $5:4$. Find the initial amount of mixture.

There are two types of rice mixed in a rice bag. The bag contains $4 \mathrm{kg}$ of type A rice and amount of type B rice is $8 \mathrm{kg}$ more than type A rice. Find the ratio of type A rice to type B rice.

A bag contains some red and blue balls. The total number of blue balls is $75\%$ more than the total number of red balls. If the total number of balls in the bag is $110$. Then find the ratio of the total number of red balls to the total number of blue balls in the bag.

A solution is a mixture of A and B. If the quantity of A is $20 \mathrm{litres}$, then what quantity of B should be added to the solution to make the ratio of A to B $1:3$ .

If $\frac{{\mathrm{a}}^2+{\mathrm{b}}^2}{{\mathrm{c}}^2+{\mathrm{d}}^2}=\frac{\mathrm{ab}}{\mathrm{cd}}$, then find the value of $\frac{\mathrm{a}+\mathrm{b}}{\mathrm{a}-\mathrm{b}}$ in terms of $\mathrm{c} \text{and} \mathrm{d}$ only.

A certain amount of money is distributed between Ajay and Vijay in a ratio of $3 : 5$ . If the share of Ajay is $₹ 30$ less than the money distributed to Ajay, then find the sum of money distributed :

If $\frac{(2.5x+1)-4}{2x} = \frac{1}{2}$ , the value of $x$ is _____ :

What is the correct symbol of proportion?

If $\frac{2\times \left(x+4-2y\right)}{4y}= \frac{-1}{5}$ and $\frac{x+2-3y}{3y} = -\frac{1}{3}$ , then find the value of $x$and $y :$

If $\frac{v(2x-y)}{3wy}+\frac{v}{3w} = 1$, then :

The sum of four number $A$, $B$, $C$ and $D$ is $474$. If $A :\hspace{0.17em}B = 1 : 2$, $B : C = 3 : 4$ and $C : D=6 : 7$, then find the value of $D$.

If $3A=5B=4C=5D=4E$, then find the ratio of $A : B : C : D : E$ :

If $A : B = 5 : 7$, $B : C = 9 : 11$ and $C : D=11 : 5$, then find $A : D$.

The sum of four number $A$, $B$, $C$ and $D$ is $118$. If $A :\hspace{0.17em}B = 2 : 3$, $B : C = 5 : 8$ and $C : D=12 : 5$, then find the value of $C$.

If $2A=3B=4C=2D$, then find the ratio of $A:B:C:D$ :

Aman and Bhanu both spend $30\%$of their income together which is equal to Rs. $13200.$ If ratio of income of Aman to that of Bhanu $6 : 5,$ then find the income of Bhanu (in Rs.)?

Twenty years ago, Mikkel's age was one-third of what it is now. What is Mikkel's present age?