Question

Two numbers are respectively 14% and 23% less than
a third number. The second number is approximately what
percentage of the first number?
A) 70
B 75
C) 80
D) 90​

Answer 1

Given :  Two numbers are respectively 14% and 23% less than a third number.

To Find : The second number is approximately what percentage of the first number?

A) 70

B 75

C) 80

D) 90​

Solution:

Let say third number = 100N

1st number  14% less than 100N

= 100N - (14/100)100N

= 100N - 14N

= 86N

2nd number 23% less than 100N

= 100N - (23/100)100N

= 100N - 23N

= 77N

second number is  percentage of the first number

=  (77N/86N) * 100

= 7700/86

= 89.53

≈ 90 %

The second number is approximately  90 % of the first number

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Two numbers are respectively 14% and 23% less than

a third number. The second number is approximately what percentage of the first number

A) 70

B 75

C) 80

D) 90

EVALUATION

Let the third number = 100

Now it is given that two numbers are respectively 14% and 23% less than a third number

So

First number = 100 - 14 = 86

Second number = 100 - 23 = 77

Hence the required percentage that the second number is approximately of the first number

$\displaystyle \sf{ = \frac{77}{86} \times 100 \: \%}$

$\displaystyle \sf{ = 89.53 \: \%}$

≈ 90%

FINAL ANSWER

Hence the correct option is D) 90

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