A man would gain 25% by selling a chair for rs47.5 and would gain 15% by selling a table for rs57.5.he sells the chair for rs36.what is least price for which he must sell table to avoid any loss on the two together?
cost price of chair = 47.5/1.25 = 38
cost price of table = 57.5/1.15 = 50
so break-even cost = 50+38 = 88
but he sold the chair for 36, so he must sell the table for at least 88-36 or 52 to avoid a loss
43
Cost Price of chair = 100/125 * 47.5
= 38 Rs.
Cost Price of table = 100/115 * 57.5
= 50 Rs.
Required SP of table = (50 + 38) - 45 = 43 Rs.
Is (3, 2) a solution to the equation y = X?
Yes or No ?
To find the least price at which the man must sell the table to avoid any loss on selling both the chair and the table together, we need to calculate the cost price (CP) of both items first.
Let's start with the chair:
If the man gains 25% by selling a chair for Rs. 47.5, we can calculate the cost price (CP) of the chair as follows:
CP = (Selling Price / (1 + Gain Percentage))
CP = (47.5 / (1 + 0.25))
CP = (47.5 / 1.25)
CP = 38
Now, let's move on to the table:
If the man gains 15% by selling a table for Rs. 57.5, we can calculate the cost price (CP) of the table as follows:
CP = (Selling Price / (1 + Gain Percentage))
CP = (57.5 / (1 + 0.15))
CP = (57.5 / 1.15)
CP = 50
Now, we need to calculate the selling price (SP) of the table at which the man would not incur any loss when selling both the chair and the table together.
Let's assume the selling price of the table to be 'x'. Therefore, the selling price of the chair is given as Rs. 36.
Total CP = CP of chair + CP of table = 38 + 50 = 88
Total SP = SP of chair + SP of table = 36 + x
To avoid any loss, the total cost price (CP) should be equal to the total selling price (SP).
Total SP = Total CP
36 + x = 88
Subtracting 36 from both sides:
x = 88 - 36
x = 52
Therefore, the least price at which the man must sell the table to avoid any loss on selling both the chair and the table together is Rs. 52.