Question
The cost of 4 chairs and 3 tables is ₹2,100 and the
cost of 5 chairs and 2 tables is ₹1,750. Find the cost (in ₹) of a chair.Solution
Let x denote the cost of a chair and y denote the cost of a table. 4x + 3y = 2100... (1) and 5x + 2y = 1750...(2) On multiplying equation (1) by 2 and equation (2) by 3 to make the coefficients of y equal, we get. = 8x + 6y = 4200.... (3) = 15x+6y = 5250... (4) On subtracting equation (3) from (4), we get. 7x = 1050 x = 150
A invests Rs. 20,000 for 6 months, B invests Rs. 15,000 for 8 months, C invests Rs. 25,000 for 4 months. Total profit = Rs. 17,000. Find B’s share.
Ashu and Sunil together start a business with investment of Rs. 1800 and Rs. ‘x + 1000’, respectively. If the profit earned after 5 years is Rs. 640...
'A' and 'B' invested Rs. 16,000 and Rs. 12,000, respectively, in a business. After 8 months, 'A' added Rs. 8,000 to his investment, while 'B' withdrew R...
Deepak and Ramesh started a business by investing Rs. ‘X’ and Rs. (X + 600), respectively. 12 months later, Ramesh withdrew his entire investment. ...
‘A’ and ‘B’ started a business by investing certain sum in the ratio 3:2, respectively for 10 years. If 20% of the total profit is donated in an...
"Abhinav" and "Pankaj" launched a business venture with investments of Rs. 1400 and Rs. 2100, respectively. The ratio of the time for which "Abhinav" an...
Ashish started a business by investing Rs. 6300. Few months later; Ramesh joined him by investing Rs. 8000 such that at the end of the year, the profit ...
A and B started a retail store with initial investments in the ratio 5:6 and their annual profits were in the ratio 2:3. If A invested the money for 8 m...
X started a business with Rs.12000. After 6 months, Y joined with x% of X’s capital. At the end of the year, Y’s share in the Rs.36000 total profit ...
- Ravi and Raj entered into a business where Ravi invested Rs. 9,000. Raj withdrew his capital after 6 months. If their profit ratio at the end of the year w...
