Question

A sold an article to B at a profit of 15%, B sold it to C at a loss of 15%, C sold it to D at a profit of 15%. If D paid Rs.8993 for it what was the cost price of the article for A?
1. Rs.9500
2. Rs.9000
3. Rs.8500
4. Rs.8000

Answer 1

Correct Answer - Option 4 : Rs.8000

Given:

A's profit, while selling to B = 15%

B's loss, while selling to C = 15%

C's profit, while selling to D = 15%

Formula Used:

While selling an article at a profit, we have:

SP = [(100 + %profit)/100] × CP

Similarly, while selling an article at a loss, we have:

SP = [(100 – %profit)/100] × CP

Here SP = Selling Price, and CP = Cost Price.

Calculation:

Let the CP for A be Rs.x

After successive selling, the price became Rs.8993,

So we get:

[(100 + 15)/100] of [(100 – 15)/100] of [(100 + 15)/100] of x = 8993

⇒ 115/100 × 85/100 × 115/100 × x = 8993

⇒ x = 20 × 20 × 20 = Rs.8000

∴ CP for A is Rs.8000