Question

24. Apliluuus
The marked price of a watch has a profit component of X% over the cost price of Rs. X. If the marked price were to be Rs. 416, what is its cost price?​

Answer 1

Answer:

160

Step-by-step explanation:

COST PRICE = X

PROFIT = X*(X/100) = X^2/100

MARKED PRICE = X + X^2/100 = 416

X^2 + +100*X - 41600 = 0

SOLVING, X = 160

Answer 2

Answer:

The required answer is $Rs.160$

Step-by-step explanation:

Given: A watch's listed price includes a profit margin of X% above the cost price of $RsX$. Suppose the marked price were $Rs416$.

To find: the cost price.

We know that

$MP = [1 + (profit component)/100]*CP$

The following relationship may be drawn from the provided data:

$416 = (1 + \frac{X}{100})*X$

Then, simplify.

$X^2 + 100*X - 41600$

$(X + 260)*(X - 160) = 0$

Calculate value of $X = 160 (Rs)$ [X cannot be negative]

Therefore, the cost price is $Rs.160$.

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