Question

if the difference between the cost price of item c and e is rs. 640 and profit earned on item c and e is 20% and 10% respectively, find the difference between the marked price of both items, if the discount given on both items is 20% each (approximately)

Answer 1

The approximate difference between the discounted prices of items C and E is Rs. 640.

Step-by-step explanation:

Let the cost price of item C be Rs. x

Cost price of item E is Rs. (x + 640) (given)

Profit on C is 20% of x. So, profit = 0.2x

Profit on E is 10% of (x + 640). So, profit = 0.1(x + 640)

Marked price of C = Cost price + Profit = x + 0.2x = 1.2x

Marked price of E = (x + 640) + 0.1(x + 640) = 1.1(x + 640)

Now discount on both is 20% of marked price.

Discounted price of C = Marked price of C - 0.2(Marked price of C) = 1.2x - 0.24x = 0.96x

Discounted price of E = 1.1(x + 640) - 0.22(x + 640) = 0.88(x + 640)

To find the difference in discounted prices: = 0.96x - 0.88(x + 640) = 0.08x - 0.88x - 563 ≈ Rs. 640