$A$ year ago,the cost of Maruti and Figo were in the ratio of $3:4$. The ratio of present and past year costs of Maruti and Figo are $5:4$ and $3:2$,respectively. If the sum of their present costs is $7.8$ lacs,find the cost (in lacs) of Figo a year ago.

If $33 \%$ of $A$ is equal to $55 \%$ of $B$,then find the ratio of $A$ and $B$.

The ratio of the ages of Ram and Rahim $10 \text{ yr}$ ago was $1:3$. The ratio of their ages $5 \text{ yr}$ hence will be $2:3$. Then,the ratio of their present ages is:

If $0.75 : x :: 5 : 8,$ then $x$ is equal to

In a mixture of petrol and kerosene,the quantity of petrol is $99 \text{ litres}$. If this same quantity of petrol were present in another mixture of petrol and kerosene where the total volume is $198 \text{ litres}$ less than the actual mixture,the concentration of petrol in the actual mixture would be $13.33 \%$ less than that of the new mixture. What is the concentration (in $\%$) of petrol in the actual mixture?

The sides of a triangle are in the ratio $1/2 : 1/3 : 1/4$ and its perimeter is $156 \text{ cm}$. The length of the largest side is (in $\text{cm}$):