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P is 25% more than Q. Q is 20% less than R. R is 10% more than S. S is 40% less than $T$. By how much percentage is P more or less than T?

A hollow spherical container is completely filled with water. A solid cube-shaped block of metal is fully submerged inside it such that the side length of the cube is equal to half the radius of the sphere. What percentage of the sphere's volume is occupied by the metal block? (approximate value)

Two identical solid hemispheres, each of radius r, are placed flat side to flat side, forming a sphere. Find the percentage of the total surface area of the resulting sphere that comes from the curved surfaces of the hemispheres before joining.

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 truck wheel having a radius of 42 cm. What percentage of its circumference is covered in a quarter turn? (Use π = $\frac{22}{7}$)

A trader sells one brand of coffee at ₹150 per kg, incurring a 25% loss. He also sells another brand of coffee at ₹200 per kg, incurring a 20% loss. If he mixes the two brands in equal proportions and sells the mixture at ₹175 per kg, what is his overall profit or loss percentage?

A triangular field with base 70 m and height 96 m shares a side with a rectangle of length 65 m and breadth 35 m. Find the combined area and the percentage of the triangle's area in the total.

The area of an equilateral triangle increases by 44%. By what percentage did the side length increase?

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 circular garden having a diameter of 20 m is surrounded by a concrete path that is 2 m wide. Calculate the percentage increase in area resulting from the addition of the path.

A mobile shop owner buys 10 boxes of mobiles for the price of 8 boxes from a wholesaler. If he sells each box at a 2% discount on its marked price, what is his profit percentage?

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?

A spherical balloon is inflated, causing its radius to grow by 5%. By what percentage does its surface area increase?

The area of an equilateral triangle increases by 21%. By what percentage did the side length increase?

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?