Express 50 paise: ₹ 4 in its simplest form. [ESIC—UDC Exam, 2016]

### Concept & Unit Conversion To compare two quantities in a ratio, they must be converted to the same unit of measurement. ### Step-by-Step Solution * **Given:** 50 paise and ₹ 4. * Convert the larger unit (Rupees) to the smaller unit (paise) to avoid decimals. * 1 Rupee = 100 paise. * Therefore, ₹ 4 = $4 \times 100 = 400$ paise. * Now, set up the ratio using the same units: 50 paise : 400 paise. * Simplify the ratio by dividing both sides by 50: * $50 / 50 : 400 / 50 = 1 : 8$. ### Exam Strategy & Shortcut Recognize that ₹ 1 is exactly twice 50 paise. Therefore, ₹ 4 is $4 \times 2 = 8$ times 50 paise. The ratio is immediately 1 : 8. ### Common Pitfall Forgetting to convert the units and just taking the ratio of the numbers as they appear ($50 : 4 = 25 : 2$) is a very common trap. ### Final Answer Therefore, the correct answer is **1 : 8**.