What is the loss percentage if the selling price of a flower vase is of its original cost.

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16.66%

15.66%

14.66%

17.66%

answer is A.

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Detailed Solution

Concept: Let's say the selling price (S.P.) of a flower vase is

if the cost price (C.P.) of a flower is x. The formula

is used to calculate loss; to determine the loss percent, divide the loss by C.P. and multiply the result by 100. You may find the loss percentage by substituting the flower vase's cost price and selling price in the formula.
Assume that the flower vase's cost price (C.P.) is

.
Given that a flower vase's selling price (S.P.) is

of its cost, we can express the selling price in terms of

.
We are aware that a loss is the difference between the selling price and the cost price.

We must determine the loss percentage, which we will do by dividing the loss we have previously estimated by the cost of the vase and multiplying the result of this division by 100.

.
Putting value of C.P. as x and C.P. as

Taking

common from the numerator we get,
Question Image

In the equation above, x will be removed from both the numerator and the denominator on the right-hand side.

Using 6 as the L.C.M. on the right side of the equation above, we obtain:

Hence, option 1 is correct.

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