Question
The dimensions of a rectangular field are given as
follows: the length is (x + 4) cm and the breadth is (x – 2) cm. It costs Rs. 8 per square centimeter to plough this field, and the total ploughing expense amounts to Rs. 3456. Calculate the expense of fencing this field at a rate of Rs. 15 per centimeter.Solution
Area of field = 3456/8 = 432 cm2 So, (x + 4)(x – 2) = 432 Or, x2 + 2x – 440 = 0 Or, x2 + 22x – 20x – 440 = 0 Or, x(x + 22) – 20(x + 22) = 0 Or, (x + 22)(x – 20) = 0 So, x = 20 Perimeter of the field = 2 × {(20 + 4) + (20 – 2)} = 84 metres Desired cost = 84 × 15 = Rs. 1260
In a hospital, the ratio of nurses to doctors is 5:2. 30% of nurses and 40% of doctors are working in the emergency department, and 20% of the remaining...
- A fruit vendor sold 150 apples on Friday. On Saturday, the number of apples sold was 10% more than Friday, and on Sunday it was 20% less than Friday. What ...
In class ‘C’, the number of girls is 25% more than that of boys while in class ‘D’ the number of girls is 40% more than that of boys. If the tot...
Anju spends 16% of her monthly income on rent, 22% of it on groceries, 14% of it on children's education and 50% of the remaining on other items. If ₹...
Monthly income of P is Rs.18000 and his monthly savings is Rs.12500. If his monthly income is decreased by 30% and monthly expenditure is decreased by 2...
There were two candidate in an election. 15% of the total voters did not cast their votes whereas 10% of the casting votes were declared invalid. If the...
The population of a city is decreased by 15% in the first year and then increased by 25% in the second year. Find the population of the city at the end...
A man spends 30% and 18% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 29% on food and 44% on en...
Suyash have total amount of Rs.2000 out of which, he spent 20% on food, 35% of the rest on travelling. Out of remaining amount he spends Rs.550 on misce...
In a competition between two candidates, the victor secured 60% of the overall legitimate votes. Out of a total of 1800 votes cast, 5% were deemed inval...
Relevant for Exams:
