‘A’ sold an article to ‘B’ at 30% profit and ‘B’ sold it to ‘C’ at a loss of 20%. ‘C’ sold the article to ‘D’ at 25% profit. If ‘D’ bought it for Rs. 390, then what is the difference (in Rs.) between the profits of ‘A’ and ‘C’?

Option 3 : Rs. 12

**Calculation:**

Let Cost price of A be Rs. x

According to the question:

Cost price of B be Rs. [x × (130/100)] = Rs. 13x/10

Cost price of C be Rs. [(13x/10) × (4/5)] = Rs. 26x/25

Cost price of D be Rs. [(26x/25) × (5/4)] = Rs. 13x/10

Again, according to the question:

'D’ bought it for Rs. 390

⇒ 13x/10 = 390

⇒ x = (390 × 10)/13

⇒ x = Rs. 300

Now,

Cost price of A = Rs. x = Rs. 300

Cost price of B be Rs. = Rs. 13x/10 = Rs. 13 × (300/10) = Rs. 390

Profit of A = 390 - 300 = Rs. 90

Cost price of C = Rs. 26x/25 = Rs. (26 × 300)/25 = Rs. 312

Cost price of D = Rs. 390

Profit of C = 390 - 312 = 78

Difference between profit of A and C = Rs. 90 - 78 = Rs. 12

**∴**** The difference (in Rs.) between the profits of ****‘****A****’**** and ****‘****C****’**** is**** ****Rs. 12.**