Practice Questions
A trader marks his goods 40% above cost price and allows a discount of 20%. Find his profit percentage.
Let $CP=100 \Rightarrow MP=140$. $SP = 140 \times 0.8 = 112$. Profit = $112-100 = 12\%$.
An article is sold at 25% profit. If the cost price increases by 20% and the selling price remains same, what is the new profit percentage?
Let $CP=100, SP=125$. New $CP=120, SP=125$. Profit = 5. Profit % = $(5/120) \times 100 = 4.166... \approx 4.17\%$.
A dishonest dealer uses a weight 10% less than actual and claims to sell at cost price. Find his actual profit %.
Profit % = $(\text{Error} / \text{Actual Weight}) \times 100 = (100 / 900) \times 100 = 11.11\%$.
A product is sold at 10% loss. If it had been sold for ₹60 more, there would have been a gain of 5%. Find cost price.
Difference in percentages = $5\% - (-10\%) = 15\%$. $15\%$ of $CP = 60 \Rightarrow CP = 60 / 0.15 = 400$.
A shopkeeper allows two successive discounts of 10% and 5% and still makes 8% profit. Find the marked price as percentage of cost price.
$\frac{MP}{CP} = \frac{100+\text{profit}}{100-\text{discount}}$. Effective discount $= 10 + 5 - (10 \times 5)/100 = 14.5\%$. $MP/CP = 108 / 85.5 \approx 1.26315 \rightarrow 126.3\%$.
An article is bought for ₹1200 and sold for ₹1500 after spending ₹100 on repairs. Find profit percentage.
Total effective $CP = 1200 + 100 = 1300$. $SP = 1500$. Profit = 200. Profit % = $(200 / 1300) \times 100 \approx 15.38\%$.
A man bought two items for ₹800 each. He sold one at 10% profit and the other at 10% loss. Find the net profit or loss.
First item: $SP=800\times1.1=880$. Second: $SP=800\times0.9=720$. Total $CP=1600$, total $SP=1600$. No profit, no loss.
A vendor sells oranges at a profit of 20%. If cost price increases by 10% and selling price stays the same, find the new profit or loss percentage.
Let $CP=100$, $SP=120$. New $CP=110$, same $SP=120$. Profit $=10$. Profit % $=10/110\times100 \approx 9.09\%$.
A shopkeeper marks goods 50% above cost price and allows a discount of 30%. Find his profit percentage.
Let $CP=100 \Rightarrow MP=150$. $SP = 150 \times 0.7 = 105$. Profit $=5\%$.
In a partnership, A invests ₹2000 for 6 months and B invests ₹3000 for 4 months. The total profit is ₹2400. Find B's share.
Ratio $=2000\times6:3000\times4 = 12000:12000 = 1:1$. B's share $=2400/2 = ₹1200$.
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