1. Problem: A product's sale price at 20% discount is 480. Find its sale price at 20% profit value.
Step 1: Let the marked price be $M$.
Step 2: Sale price at 20% discount is $M - 0.2M = 0.8M = 480$.
Step 3: Solve for $M$: $$M = \frac{480}{0.8} = 600$$.
Step 4: Sale price at 20% profit is $M + 0.2M = 1.2M = 1.2 \times 600 = 720$.
Answer: Rs 720.
2. Problem: A man sold a pen for Rs 180, which is Rs 60 less than what he paid. Find his loss percentage.
Step 1: Cost price $C = 180 + 60 = 240$.
Step 2: Loss = $C - 180 = 60$.
Step 3: Loss percentage = $$\frac{60}{240} \times 100 = 25\%$$.
Answer: 25%.
3. Problem: 3 liters of paint cover 24 m². Find percentage increase in paint quantity to cover 50.4 m².
Step 1: Paint per m² = $$\frac{3}{24} = 0.125$$ liters.
Step 2: Paint needed for 50.4 m² = $$50.4 \times 0.125 = 6.3$$ liters.
Step 3: Increase in paint = $$6.3 - 3 = 3.3$$ liters.
Step 4: Percentage increase = $$\frac{3.3}{3} \times 100 = 110\%$$.
Answer: 110%.
4. Problem: Cost for hiring a car in 2018 was Rs 264, which is 20% more than in 2013. Find 2013 cost.
Step 1: Let 2013 cost be $x$.
Step 2: 2018 cost = $x + 0.2x = 1.2x = 264$.
Step 3: Solve for $x$: $$x = \frac{264}{1.2} = 220$$.
Answer: Rs 220.
5. Problem: Ali buys an oven for Rs 36800 and sells it at 8.5% gain. Find selling price.
Step 1: Gain = $$0.085 \times 36800 = 3128$$.
Step 2: Selling price = $$36800 + 3128 = 39928$$.
Answer: Rs 39928.
Discount Profit Loss
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