Question

If 15% of 40is greater than 25% of a number by 2 then what is the number with explanation?
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Answer 1

Answer:

Let the number is x.

As given in the question,15%

of 40 is greater than 25%

of x by 2.

Hence we can write the difference between 15%

of 40 and 25%

of x is 2.

⇒15%of40−25%ofx=2

⇒15100×40−25100×x=2

⇒600100−25x100=2

⇒600−25x100=2

⇒600−25x=200

.

⇒600−200=25x

⇒25x=400

⇒x=40025

⇒x=16

Hence the required number is 16. So option B is correct.

Note: In general percentage means out of 100. If we have to find x% of a , we simply multiply x and a then divide by 100. We can write it as

⇒x%ofa=x100×a

Answer 2

Step-by-step explanation:

Hint: We can solve this question by converting a given statement in terms of algebraic equations. For this we let an unknown number equal to any variable and write the equation according to the given statement in terms of that variable.

Complete step by step solution:

Let the number is x.

 As given in the question,

15%15%

 of 40 is greater than 

25%25%

 of x by 2.

Hence we can write the difference between 

15%15%

 of 40 and 

25%25%

 of x is 2.

⇒15%of40−25%ofx=2⇒15%of40−25%ofx=2

⇒15100×40−25100×x=2⇒15100×40−25100×x=2

⇒600100−25x100=2⇒600100−25x100=2

⇒600−25x100=2⇒600−25x100=2

⇒600−25x=200⇒600−25x=200

.

⇒600−200=25x⇒600−200=25x

⇒25x=400⇒25x=400

⇒x=40025