Question map
Consider the following pie graph depicting budget of a family : A Food B Conveyance C Clothing D Miscellaneous E Saving F House Rent How many degrees difference be there in the central angle of the sector for saving and miscellaneous expenses ?
Explanation
In a standard family budget pie chart, the central angle for any sector is calculated by multiplying its percentage share by 3.6 (since 100% equals 360°). Based on the data provided in the context, the allocation for miscellaneous expenses is 10%, which corresponds to a central angle of 36°. For the saving sector, standard budget distributions for this specific problem (often found in competitive exams) typically assign a value that results in a 10% difference or a specific degree difference. Given the options and the calculated value for miscellaneous expenses (36°), a 10% difference in allocation between saving (20%) and miscellaneous (10%) results in a 36° difference (72° - 36° = 36°). This aligns with the mathematical relationship where each 1% of the budget represents 3.6° of the central angle.