Question Details

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 the gel pens sold on all given day is what parentage of dot pens sold on Monday.

Options

A

150

B

100

C

40

D

155

E

50

Show Answer

Correct Answer :

Option B

100

Solution :

The correct answer is 100.

Let us break down the information given in the question step-by-step:
1. Sunday: The number of dot pens sold is 25.
2. Monday: Let the number of dot pens sold on Monday be M.
3. Tuesday: The number of dot pens sold on Tuesday is 50% more than that on Monday:
Tuesday dot pens=M+0.5M=1.5M
4. Wednesday: The number of dot pens sold on Wednesday is 100.
5. Total dot pens sold: The total number of dot pens sold on all four days is 250.

Now, we can set up an equation to find the value of M:
Sunday+Monday+Tuesday+Wednesday=250
25+M+1.5M+100=250
125+2.5M=250
Subtracting 125 from both sides:
2.5M=125
Solving for M:
M=1252.5=50
So, the number of dot pens sold on Monday is 50.

Next, we are given that the total number of gel pens sold on all four days is 50.

We need to find what percentage the total gel pens sold is of the dot pens sold on Monday:
Percentage=Total Gel Pens SoldDot Pens Sold on Monday×100
Substituting the values:
Percentage=5050×100=100%
Thus, the total gel pens sold is 100% of the dot pens sold on Monday.

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