Question

Laxmi has 25 marbles more than Meena; Meena has 50 marbles less than Neeta and Neeta has 20
marbles more than Prajakta. Which of the following statement is true?
1 Laxmi has 10 marble more than Prajakta
2 Laxmi has 5 marble less than Prajakta
3 Prajakta has 40 marbles less than Neeta
4Laxmi has 5 marbles more than Prajakta

Answer 1

Answer: The answer is (2) Laxmi has 5 marble less than Prajakta.

Step-by-step explanation:  Given that Laxmi has 25 marbles more than Meena, Meena has 50 marbles less than Neeta and Neeta has 20  marbles more than Prajakta.

Let, 'l', 'm', 'n' and 'p' be the number of marbles with Laxmi, Meena, Neeta  and Prajakta respectively. Then, according to the question, we have

$l=m+25,~~m=n-50,~~n=p+20.$

So,

$l=m+25=n-50+25=n-25=p+20-25=p-5.$

Therefore, Laxmi has 5 marbles less than Prajakta.

Thus, the correct option is (2).

Answer 2

Solution:

Laxmi has 25 marbles more than Meena;

Let number of marbles Meena has = x

Then, Number of marbles possessed by Laxmi = x + 25

Meena has 50 marbles less than Neeta and Neeta has 20  

marbles more than Prajakta.

Number of marbles that Neeta has = x + 50

Number of marbles Prajakata has = x +50 -20= x + 30

The true statements is:

Statement 2: Laxmi has 5 marble less than Prajakta is correct.

Because, Number of marbles Prajakata has = x +30

So, x +30 - 5 = x + 25=Number of marbles possessed by Laxmi.