The marked price of an article is ₹1,680 and it is sold at a discount of 19%. If there is a gain of 8%, then by what percentage above the cost price was the article marked?
\(35\tfrac{1}{3}\%\)
\(31\tfrac{1}{3}\%\)
\(32\tfrac{1}{3}\%\)
\(33\tfrac{1}{3}\%\)
The ratio between the monthly incomes of P and Q is 7 : 6 and the ratio between their expenditures is 6 : 5. If they save ₹480 each, then find P’s monthly income.
The total surface area of a solid cylinder of radius 8cm, is 704 cm2. Find the volume of the cylinder.\(\text{(use } \pi = \frac{22}{7}\text{)}\)
\(1106\tfrac{6}{7}\,\text{cm}^3\)
\(1026\tfrac{6}{7}\,\text{cm}^3\)
\(1206\tfrac{6}{7}\,\text{cm}^3\)
\(1602\tfrac{6}{7}\,\text{cm}^3\)
The table below shows the number of people who responded to a survey about their favourite style of music.
| Age | 18–35 | 36–50 | 51+ |
| Classical | 75 | 51 | 54 |
| Pop | 54 | 67 | 65 |
| Hip-Hop | 60 | 82 | 78 |
| Rock | 72 | 78 | 49 |
| Total | 261 | 278 | 246 |
What percentage of the total sample indicated that Classical is their favourite style of music? (Rounded off to 2 decimal places)
A man travels a certain distance at 10 km/h and returns to the starting point at 8 km/h. The total time taken by him for the entire journey is one and a half hours. The total distance (in km) covered by him is:
\(11\tfrac{1}{3}\)
\(14\tfrac{2}{5}\)
\(13\tfrac{1}{3}\)
\(12\tfrac{2}{3}\)