Question

If X sells an article to Y at 20% profit, that particular article is further sold at Rs 1500 to Z. Y’s gain in that transaction is 25%. Calculate cost price of the article at X.
1. Rs 2250
2. Rs 2500
3. Rs 1000
4. Rs 3000
5. Rs 1500

Answer 1

Correct Answer - Option 3 : Rs 1000

Given:

X to Y = 20% profit

Y to Z = 25% profit

Final C.P. = Rs 1500

Formula used:

S.P. = C.P. + Gain

S.P. = C.P. – Loss

Profit% = (Profit/C.P.) × 100

Calculation:

Let, an unit = X

⇒ P sells at 1/5 profit. Hence, C.P. = 5 × X and S.P. = 6 × X

⇒ Q sells at 1/4 profit. Hence, C.P. = 4 × X and S.P. = 5 × X

⇒ Cost price of X = (5 × 4 × X)

⇒ Cost price of Z = (6 × 5 × X)

⇒ C.P. of Z = 30 × X and C.P. of X = 20 × X

Now, final C.P. = 1500

⇒ 30 × X = 1,500

⇒ X = 50

⇒ C.P. of X = 20 × 50

⇒ C.P. of X = 1000

∴ Cost price of article at X is Rs 1000