Question
The perimeter of a square field is 16 cm more than the
perimeter of a rectangle. The length of the rectangle is 24 cm which is 150% of its width. If a street of width 10 cm surrounds from outside the square, then find the total cost of constructing the street at the rate of Rs. 25 per sq. cm?Solution
Let the width of the rectangle = x cm Then, 150% of x = 24 x = 24 × 100/150 = 16 cm Perimeter of the rectangle = 2(length + width) = 2 × (24 + 16) = 80 cm Perimeter of the square = (80 + 16) = 96 cm The sides of the square = 96/4 = 24 cm The area of the square field without street = (24)2 sq. cm = 576 sq. cm The area of the square field with street = (24 + 20)2 sq. cm = 1936 sq. cm The area of the street = 1936 – 576 = 1360 sq. cm The total cost of constructing the street = 1360 × 25 = Rs. 34,000
 In a lock-making factory, 10 percent of the total produced locks were found to be defective, and 80 percent of the non-defective locks were exported. ...
- Rohit purchased a mobile phone for Rs. 18,500 and sold it for Rs. 21,465. Find the percentage of profit he made.
The number of trees in a park increases by 12% every year. If the number of trees after 2 years will be 3,136, find the current number of trees in the p...
A man spends 72% of his income. If his income increases by 28% and his expenditure increases by 25%, then what is the percentage increase or decrease in...
- A person paid Rs. 13500 for a refrigerator after a single discount of 25%. If he had been given successive discounts of 15% and 15%, how much would he have...
Out of his total income, Rahul spent 25% on rent, 35% of the remaining income on groceries, and saved 60% of the income left after his expenses.
The price of a commodity has risen by 40%, leading to a 25% decrease in the quantity sold. What is the overall impact on total revenue?
- During an election, 5% of the total electorate didn’t cast their votes. The winning candidate secured 51% of the total votes and won by 1400 votes. Deter...
Income of A is twice the income of B. B and A spend 75% and 85% respectively of their incomes. Find the savings of A, if B saves Rs. 18000 in a month.
The earnings ratio of individuals 'P' and 'Q' stands at 5:3, respectively. 'P' manages to save 20% of their income, which is precisely 80% of what 'Q' s...
Relevant for Exams:
