An army lost $10 \%$ of its men in war,$10 \%$ of the remaining died due to disease,and $10 \%$ of the rest were declared disabled. Thus,the strength of the army was reduced to $7,29,000$ active men. What was the original strength of the army?

In a class,$60 \%$ of the students pass in Hindi and $45 \%$ pass in Sanskrit. If $25 \%$ of them pass in both subjects,what percentage of the students fail in both subjects?

The price of a house increases every year by $20 \%$. If the present price is $Rs \ 720000$,then what was its price (in $Rs$) $2$ years ago?

The daily wage is increased by $25 \%$ and a person now gets $₹ 25$ per day. What was his daily wage before the increase?

In an election between two candidates,$10 \%$ of the voters did not cast their vote. $10 \%$ of the votes polled were found invalid. The successful candidate received $54 \%$ of the valid votes and won by a majority of $1620$ votes. The total number of voters enrolled on the voter's list was:

In the laptop market,only three competitors (Lenovo,Apple,and Samsung) exist. Last year,the sales of Apple laptops were $10 \%$ more than Lenovo. This year,both the firms Lenovo and Apple increased their respective sales by $20 \%$. This year,the sales of the firm Apple are five times that of Samsung. What percentage of the total market sales did Samsung account for last year,if the total sales remained constant over the two-year period (in $\%$)?