Join 60,000+ competitive exam aspirants
In October total laptop sold by store I is 71.42% of total laptop in the shop. Find the number of unsold laptop in store I in the month of October.
21
84
54
86
None of the above
84
Recognize that 71.42% is exactly equivalent to the fraction 75тАЛ. Therefore, if 5┬аunits=210, then 1┬аunit=42, and the total capacity is 7┬аunits=7├Ч42=294.
Laptop sold by store I in October = 210. This quantity is 71.42% of the total number of laptops in the shop.
Unsold┬аLaptops=Total┬аLaptopsтИТSold┬аLaptops
Recognize that 71.42% is exactly equivalent to the fraction 75тАЛ. Therefore, if 5┬аunits=210, then 1┬аunit=42, and the total capacity is 7┬аunits=7├Ч42=294.
Many students try to calculate 71.42% of 210 instead of setting 210 as the 71.42% part of the total.
Convert percentage to fraction
The value 71.42% is approximately 75тАЛ.
71.42%тЙИ75тАЛ
Calculate the total number of laptops
If 210 represents 5 parts of the total, then 1 part is 210/5=42. The total amount is 7 parts.
Total=42├Ч7=294
Find the number of unsold laptops
Subtract the sold laptops (210) from the total capacity (294).
294тИТ210=84
B is correct because the total number of laptops is 294, and subtracting the 210 sold laptops leaves 84 unsold units.
Always memorize common fractional equivalents of percentages like 1/7тЙИ14.28% and 5/7тЙИ71.42% to save significant time in competitive exams.