Person A started a business by investing Rs.65,000. After a few months, B joined him by investing Rs.50,000. Three months after the joining of B, C joined the two with an investment of Rs.55,000. At the end of the year, A got 50% of profit as his share. For how many months did A alone finance the business ?
The following bar graph shows receipts and expenditure by a business firm over 5 years.
Gain = Receipts - Expenditure.
In which year did the company gain the minimum amount?
The sides of a triangular field are 360 m, 480 m and 600 m. Its area is equal to the area of a square field. What is the side (in m) of the square field?
120\(\sqrt{6}\)
160\(\sqrt{6}\)
160\(\sqrt{3}\)
120\(\sqrt{3}\)
A person’s salary was decreased by 50% and subsequently increased by 50%. By how much per cent does his salary increase or decrease overall?
In a △ABC, D, E, and F are the midpoints of sides BC, CA, and AB respectively.
If BC = 25.6 cm, CA = 18.8 cm, and AB = 20.4 cm, what is the perimeter (in cm) of △DEF?
Find the value of the following expression:
\(
\frac{ (7.03)^{3} - 0.027 }{ (7.03)^{2} + 2.109 + (0.3)^{2} }
\)
Amit lent a sum of ₹5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10% per annum beyond 4 years. How much interest (in ₹) will he earn at the end of 10 years?
The breakup of the total number of employees of a company working in different offices (A to E) in degrees, is given in the pie chart.
Total number of emplyees = 2400.
If 40% of the number of employees in office A are shifted equally to office B and E, then what will be the sum of the number of employees in B and C?
O is the centre of a circle of radius 10 cm. P is a point outside the circle and PQ is a tangent to the circle. What is the length (in cm) of PQ if the length OP is 26 cm?