Question

What would be the printed price of a watch purchased at Rs. 380, so that after giving 5% discount, there is 25% profit?
(A). Rs. 400
(B). Rs. 450
(C). Rs. 500
(D). Rs. 600

Answer 1

Hint: In this question it is given that we have to find the printed price of a watch which purchased at Rs. 380, so that after giving 5% discount, there is 25% profit. So to find the solution we have to consider the printed price as x, also we need to know that the selling price, S.P=(C.P+profit)..............(1)
And also S.P=(M.P-discount).........(2)
Where, C.P is the cost price which is also called as purchased price.
And M.P is the marked price.

Complete step-by-step solution:
Let us assume that the printed price(Marked price) is Rs x.
Given the purchase price C.P= Rs. 380, and profit percentage = 25%,
Therefore profit = 25% of 380 = $$\dfrac{25}{100} \times 380=95$$
Therefore the selling price, S.P=(C.P+profit)
  = 380+95
  = Rs. 475…………….(3)
Now it is also given that after 5% discount on printed price,
Therefore, the discount = 5% of M.P=$$\dfrac{5}{100} \times x=\dfrac{x}{20}$$ =0.05x
The selling price, S.P=(M.P-discount)=(x-0.05x)=0.95x………..(4)
From equation (3) and (4) we can write,
$$0.95x =475$$
$$\Rightarrow \dfrac{95x}{100} =475$$
$$\Rightarrow 95x=475\times 100$$
$$\Rightarrow 95x=47500$$
$$\Rightarrow x=\dfrac{47500}{95}$$
$$\Rightarrow x=500$$
Therefore the printed price of the watch is Rs. 500.
Hence the correct option is option C.

Note: While solving this type of problem you need to keep in mind some basic rules, which are:
If the cost price (C.P.) of the article is equal to the selling price (S.P.), then there is no loss or gain.
When C.P and gain percentage is given then we have to add the gain with C.P.
When C.P and loss percentage is given then we have to subtract the loss from C.P in order to get S.P.
And if r% be the gain or loss percentage, then gain or loss is equal to $$\dfrac{r}{100} \times \text{C.P}$$.
Discount always applies on the marked price (M.P).