Read the information and answer the following questions

A shop sells two types of pens dot and gel in four given days. Sunday: Total number of dot pens sold is 25. Monday: dot pens sold are X% more than that on Sunday. Tuesday: dot pen sold are 50% more than that on Monday. Wednesday: total dot pens sold 100. Total number of dot pens sold in all four days are 250 and total number of gel pens sold on these four days are Y% less than dot pens sold on each day. Total gel pens are 50.

Find total pens sold on Sunday and Monday.

The correct option is 90.

Let us break down the given information step-by-step to find the total number of pens sold on Sunday and Monday.

Step 1: Calculate the number of dot pens sold on each day.
We are given the following details about the dot pens sold over four days:
- Sunday: 25 dot pens
- Wednesday: 100 dot pens
- Monday: Dot pens sold are X% more than on Sunday.
- Tuesday: Dot pens sold are 50% more than on Monday.
- Total number of dot pens sold in all four days is 250.

Let the number of dot pens sold on Monday be represented by $M$.
Since the number of dot pens sold on Tuesday is 50% more than on Monday, the number of dot pens sold on Tuesday is:
$1.5\times M$

Now, we can set up the equation for the total number of dot pens sold over the four days:
$\text{Sunday}+\text{Monday}+\text{Tuesday}+\text{Wednesday}=250$
Substituting the values, we get:
$25+M+1.5M+100=250$

Simplify and solve for $M$:
$125+2.5M=250$
$2.5M=250-125$
$2.5M=125$
$M=\frac{125}{2.5}=50$

So, the number of dot pens sold on Monday is 50.

We can now calculate the dot pens sold on Tuesday:
$1.5\times 50=75$

Summary of dot pens sold:
- Sunday: 25
- Monday: 50
- Tuesday: 75
- Wednesday: 100

Step 2: Calculate the number of gel pens sold on each day.
We are told that the total number of gel pens sold on these four days is 50. Also, the gel pens sold on each day are Y% less than the dot pens sold on that day.
This means the number of gel pens sold on any day is a constant fraction of the dot pens sold on that day.

Let this fraction be represented by $k=1-\frac{Y}{100}$.
The sum of the gel pens sold on all four days is:
$k\times (25+50+75+100)=50$
$k\times 250=50$
$k=\frac{50}{250}=0.2$

Therefore, the number of gel pens sold on each day is 20% (or 0.2 times) of the dot pens sold on that day.

Let us calculate the gel pens sold on Sunday and Monday:
- Gel pens sold on Sunday = $0.2\times 25=5$
- Gel pens sold on Monday = $0.2\times 50=10$

Step 3: Calculate the total pens sold on Sunday and Monday.
- Total pens sold on Sunday = Dot pens + Gel pens = $25+5=30$
- Total pens sold on Monday = Dot pens + Gel pens = $50+10=60$

Hence, the total pens sold on Sunday and Monday combined is:
$30+60=90$