Question

20% of the commodity is sold at 25% profit, 10% at 40% profit and remainder at 30% profit. If a profit of Rs. 180 is earned. Find the value of commodity
1. Rs. 1,000
2. Rs. 500
3. Rs. 600
4. Can’t be determined

Answer 1

Correct Answer - Option 3 : Rs. 600

Given:

Percent profit on 20% of commodity = 25%

Percent profit on 10% of commodity = 40%

Percent profit on 70% of commodity = 30%

Total profit = 180

Concept used:

Percent profit / loss = (profit / loss) / C.P × 100

Calculation:

Profit and loss is always calculated on C.P

Let value of the commodity = Rs. X

C.P of 20% of it = 20% of X = X / 5

C.P of 10% of it = 10% of X = X / 10

C.P of 70% of it = 70% of X = 7X / 10

Profit on selling 20% of it = 25% of X / 5 = X / 20,

Similarly, profit on 10% = 40% of X / 10 = X / 25

And profit on 70% = 30% of 7X / 10 = 21X / 100

Total profit = X / 20 + X / 25 + 21X / 100 = 30X / 100

∵ 30X / 100 = 180

⇒ X = 180 × 100 / 30 = 600

Therefore, value of the commodity = Rs.600