Question

2 .A shop keeper allows 20% off on the marked price of goods and still gets a profit of 25%.What is the actual cost to him of an article marked Rs.500.

Answer 1

Step-by-step explanation:

D% = 20

P% = 25

MP = 500

$$\rule{200}{4}$$

we know that,

$$\begin{lgathered}sp = \frac{mp \times(100 - d\%) }{100} \\ \\ sp = \frac{500 \times 80}{100} \\ \\ sp = 400\end{lgathered}$$

Now,

$$\begin{lgathered}cp = \frac{sp \times 100}{(100 + p\%)} \\ \\ cp = \frac{400 \times 100}{125} \\ \\ cp = 320\end{lgathered}$$

Answer 2

Answer:

Given, 20% off on marked price MP

= 500 Discount

= 20% Discount

= (MP × Discount %)/100 = (500×20)/100

= Rs 100 SP = MP – Discount = (500 – 100)

= Rs 400 And 25% profit he gets additionally,

So, by using the formula, CP

= 100 / (100 + Gain %) × SP

= 100 / (100 + 25) × 400

= 100/125 × 400 = 320

$\frac{400 \times 100}{125}$= 320

∴ Actual cost of the article is Rs 320.

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