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The population of a city increases by 30% in the first year and decreases by 25% in the second year. What is the net percentage change after 2 years?

Alloy A contains metals $l$ and $m$ in the ratio $5:3$, while alloy $B$ contains them in the ratio 4 : 5.Alloy C is prepared by mixing alloys A and B in the ratio 3 : 2. Find the percentage of $l$ in alloy C .

A circular decorative wall clock with a radius of 30 cm has a design where a chord connects two points on the circumference. This chord, along with two radii, forms an equilateral triangle at the center of the clock face. The smaller segment created by this chord is painted in a contrasting color. What percentage of the clock's total area does this smaller painted segment represent? (Use π = 3.14, $\sqrt{3}$ ≈ 1.732)

Due to an error, a shopkeeper increases the selling price of a ₹400 item by 12.5% instead of decreasing it by 12.5%. What is the percentage increase in the price due to this error?

A toy manufacturer produced 1200 toy cars at a total cost of ₹91,000. He donated 200 cars to a charity event. For the rest, he announced a 10% discount on the market price of ₹120 per car. He also offered 2 toy cars free for every 8 toy cars purchased. If all 1200 toy cars were distributed, what is his overall gain or loss percentage?

A clothing store sold three dresses, D1, D2, and D3, whose selling prices were in the ratio 12 : 6 : 3. They made a profit of 20% on D1, a loss of 10% on D2, and a profit of 5% on D3. What was their approximate total profit or loss percentage for the entire sale?

A vendor purchases 5 shirts at the marked price of 4 shirts. If he sells each shirt after giving an 8% discount on its marked price, what is his profit percentage?

A dealer first sells a dining table for ₹X, making a 20% profit. Later the marked price of the same table is raised to ₹1.8X and a festive discount of 30% is given on it. What is the new profit percentage?

A company produced 6000 chocolates at a total cost of ₹1,80,000. They distributed 600 chocolates free as samples. For the remaining chocolates they offered a 10% discount on the market price of ₹40 per chocolate, and additionally gave 1 chocolate free with every 19 sold. What is the profit or loss percentage?

An electronics store orders 180 portable speakers at a cost of ₹420 each. The owner plans to price them so that selling only 140 speakers would guarantee a 30% profit on the total investment. However, a local event leads to the sale of 155 speakers. If the remaining speakers have no resale value, calculate the store's actual profit percentage on the total investment.

A trader gave a 25% discount on the marked price but still earned a 15% profit. What percentage was the marked price above the cost price?

A container has an 80-litre mixture of milk and water in the ratio 3 : 1. 12 litres is removed and replaced with water. Then 12 litres is removed again and replaced with milk. What is the final percentage of water?

A container has 100 litres of a mixture of acid and water in the ratio 3 : 2. 10% of the mixture is taken out and replaced with water. This operation is repeated once more. What is the final percentage of acid in the mixture?

A shopkeeper bought 100 shirts. He bought 40 shirts at Rs. 500 each and the rest at Rs. 800 each. He had to pay a transportation charge of 5% on the total purchase price. He sold 30 of the cheaper shirts at a 20% profit and the remaining cheaper ones at a 10% loss. All the expensive shirts were sold at a $10\%$ profit. What is his approximate overall profit percentage?

A candy shop owner buys three kinds of candies: red, yellow, and green. Red candies are purchased at 3 for ₹15, yellow candies at 4 for ₹18, and green candies at 5 for ₹22. He mixes them in the ratio 1 : 1 : 2. He sells all the mixed candies at 3 for ₹20. What is his approximate gain or loss percentage?

A fruit seller buys three varieties of mangoes. The first variety is bought at 8 for ₹20, the second at 10 for ₹24, and the third at 4 for ₹10. He mixes them in the ratio 2 : 3 : 1 respectively. If he sells all the mangoes at 6 for ₹14, what is his approximate gain or loss percentage?

A bookseller purchases 8 novels at the marked price of 6 novels from a distributor. If he then sells these novels to customers, offering a discount of 15% on the marked price, what is his profit percentage?

A software company developed 1600 licences for a new application at a total cost of ₹80,00,000. They provided 100 licences free to their top beta testers. For the remaining licences they offered a 30% discount on the market price of ₹12,000 per licence, and additionally gave 1 licence free for every 9 licences sold. What is the profit or loss percentage?

If the selling price of an item is increased by 10% and the profit also increases from 15% to 20%, what is the percentage increase in the cost price?