DELHI POLICE MATHS QUIZ-53

By selling a suitcase for ₹ 570, a trader loses $5 \%$. At what price must he sell it to gain $5 \%$ ?

If $x \%$ of 240 is equal to $60 \%$ of $(x+450)$, then $20 \%$ of $(x+50)$ is what percentage less than $40 \%$ of $x$ ?

The area of a triangular park, whose sides are $72 \mathrm{~m}, 210 \mathrm{~m}$ and $222 \mathrm{~m}$, is equal to the area of a rectangular garden whose sides are in the ratio of $21: 10$. What is the perimeter (in $\mathrm{m}$ ) of the rectangular garden?

When a number is divided by $2,3,4,5$ and 6, the remainder is 1 in each case. If this number lies between 500 and 600, then what will be the sum of the digits of the number?

The average salary of 20 workers in an office is ₹ 1900 per month. If the manager's salary is also added, then the average salary becomes 2000 per month. What is the manager's salary?

Rekha spends $75 \%$ of her monthly income. If her income increases by $15 \%$ and still she saves the same amount as before, then what is the percentage increase in her expenditure?

After allowing three successive discount of 15%, 20% and 18% on the marked price of an article, it is sold for Rs. 2,230.40. The marked price (in Rs) of the article is:

If the annual rate of simple interest increases from 9% to$13 \frac{1}{2} \%$, then the yearly interest increases by Rs. 3,690. What is the principal (in Rs.) ?

A car runs for 11 hours. For the first 100 km, the car runs with a certain speed and then it increases its speed by 15 km / hr to cover the remaining 280 km. How much time (in hours) does it take to cover the first 100 km ?

$45 \div 15 \times 3 \div 9+77 \div 11 \times 3 \div 21$