Question
The length of a rectangle is 3 metres more than its
width. If the perimeter of the rectangle is 78 metres then what is the area (in m2Β ) of the rectangle?Solution
Let the width of the rectangle = βxβ metres Then, length of the rectangle = (x + 3) metres Perimeter of the rectangle = 2 Γ (length + width) Or, 2 Γ (x + x + 3) = 78 Or, 2x + 2x + 6 = 78 Or, 4x = 78 β 6 = 72 Or, x = 72/4 = 18 m So, area of the rectangle = x Γ (x + 3) = 18 Γ 21 = 378 m2
βXβ invested Rs. 5000 in a business. βYβ joined x months later with an investment of Rs. 4000. If at the end of the year, Yβs share in the pro...
βAβ and βBβ started a business by investing Rs. βzβ and Rs. βz + 150β, respectively. If 6 months later the ratio of profit shares of β...
A started a business with an investment of Rs 16,000. After 2 months B joins in with 5/8 of the amount that A invested and A withdraws Rs 4,000. After 2...
- 'X', 'Y' and 'Z' jointly opened a company by investing Rs. 2,400, Rs. 3,600, and Rs. 4,800 respectively. After 4 months, 'Y' withdrew Rs. 600. If the total...
A and B together started a business with initial investment in the ratio of 1:5, respectively. The time-period of investment for A and B is in the ratio...
Rohan and Deepak invested Rs. 10,000 and Rs. 15,000 respectively. After 3 months, Rohan reduced his investment by Rs. 2,000 and Aman joined with Rs. 20,...
Two partners A and B invested Rs. 900 and Rs. βmβ respectively in a business. B withdrew after 6 months. If A got Rs. 3600 from a total yearly profi...
A and B started a business by investing Rs.500 and Rs.600 respectively. After 4 months, A increased his investment by Rs.900. Find the ratio of annual ...
X, Y, Z enter into partnership with capital contribution Rs. 50000, 20000 and 30000 respectively X is working partner of get 20% of profit for managing...
A and B together start a business with investment of Rs. 1800 and Rs. (x + 900), respectively. If the profit earned after 5 years is Rs. 7000 and share ...