By selling a watch for rupees 475, jatin suffer a loss of 5percent. At what price should he sell the watch so as to gain 12 percent
1.12(475/.95) = 560
To find the selling price that would yield a 12 percent gain, we first need to calculate the cost price of the watch.
Let's assume the cost price of the watch is Rs. X.
Jatin suffered a loss of 5 percent when he sold it for Rs. 475. Loss is calculated as a percentage of the cost price.
Loss = 5% of X = (5/100) * X = X/20
Therefore, the selling price after a 5 percent loss can be calculated as:
Selling price = Cost price - Loss = X - X/20 = (19/20) * X
Now, we need to find the selling price that would yield a 12 percent gain. Gain is calculated as a percentage of the cost price.
Gain = 12% of X = (12/100) * X = X/8
To find the selling price, we need to add the gain to the cost price:
Selling price = Cost price + Gain = X + X/8 = (9/8) * X
We can now equate the selling price after a 5 percent loss with the selling price for a 12 percent gain:
(19/20) * X = (9/8) * X
Divide both sides of the equation by X:
19/20 = 9/8
To solve for X, cross-multiply:
8 * 19 = 9 * 20
152 = 180
Since 152 is not equal to 180, the equation does not hold true. This means that there is no selling price that would yield a 12 percent gain. Therefore, Jatin cannot sell the watch to gain 12 percent.