Question

Find the missing term in the sequence

100, 100, 90, 72, ??, 30.24

• A. 97
• B. 98
• C. 96
• D. 95

Answer 1

The correct option is B

98

Let's try to find what exactly is happening in the series.
If we observe the first two numbers i.e, 100 and 100 , we can say that 100 is 100 % of 100 or
100 $\times$$\frac{100}{100}$ = 100,
Going with the same logic , 90% of 100 is 90 or
100 $\times$$\frac{90}{100}$ = 90,
Applying the same logic, 80% of 90 is 72 or
90 $\times$$\frac{80}{100}$ = 72,
So , every number is some percent of the previous number and the perecentage is decreased by 10% every time.
Applying the same logic , we get the other two numbers
72 $\times$$\frac{70}{100}$ = 50.4,
50.4 $\times$$\frac{60}{100}$ = 30.24

So the missing number is 50.4.