Answer

Verified

447k+ views

**Hint:**In this particular question assume any variable be the number of postage stamps of denominations 25 paise so the number of postage stamps of denominations 50 paise is (28 – x) as the total number of stamps he buys are 28, so use these concepts to reach the solution of the question.

__Complete step-by-step answer__:Given data:

A man buys postage stamps of denominations 25 paise and 50 paise for Rs. 10.

Total number of postage stamps he buys are 28.

And the total amount he spent is Rs. 10

As we all know that 1 Rs = 100 paise.

So, 10 Rs. = 1000 paise.

Now, let the number of postage stamps of denominations 25 paise be X.

So the number of postage stamps of denominations 50 paise are (28 – X) as the total number of postage stamps are 28.

Now the sum of the multiplication of respective postage stamps with their respective cost is equal to the total amount he spent in paise.

So convert the above information into equation we have,

$ \Rightarrow 25X + 50\left( {28 - X} \right) = 1000$

Now simplify this equation we have,

$ \Rightarrow 25X + 1400 - 50X = 1000$

$ \Rightarrow 25X = 1400 - 1000 = 400$

$ \Rightarrow X = \dfrac{{400}}{{25}} = 16$

So there are 16 postage stamps of denominations 25 paise.

And the number of postage stamps of denominations 50 paise = (28 – X) = (28 – 16) = 12

So this is the required answer.

**Hence option (b) is the correct answer.**

**Note**: Whenever we face such types of questions the key concept we have to remember is that the sum of the multiplication of respective postage stamps with their respective cost is equal to the total amount he spent in paise, so construct the linear equation as above and simplify we will get the required number of postage stamps of 25 paise and 50 paise respectively.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE