Answer

Verified

483.9k+ views

Hint: Here we go through by supposing the no of coin ratio by multiplying with some variable in their ratio and let it as a number of coins. And then proceed according to the question to find that variable that we suppose. To get the answer.

Given one rupee, 50 paise and 25 paise coins are in the ratio 3:4:5

Now, let the one rupee coins are 3x

And 50 paise coins are 4x

And 25 paise coins are 5x

And now we calculate the value of these coins.

For finding the values of coins first convert their value in one unit .i.e. convert the paise in rupees. And we know that 100 paise is equal to one rupees.

So by applying unitary method we can say that 50 paise= Rs. 0.5 and 25 paise=Rs. 0.25.

Value of one rupee coins $Rs.1 \times 3x = Rs.3x$

Value of 50 paise coin$Rs.0.5 \times 4x = Rs.2x$

Value of 25 paise coin $Rs.0.25 \times 5x = Rs.1.25x$

So we can say that total value of the coin is Rs.3x+Rs.2x+Rs.1.25x=Rs.6.25x

And in the question it is given that the total value of the coin is Rs.93.75.

Now we can equate the value of coins,

i.e. Rs.6.25x=Rs.93.75

$\therefore $x=15

And now we put the value of x that we suppose at the starting of the question. To find the number of coins.

One rupee coins are 3x$ = 3 \times 15 = 45$

50 paise coins are 4x$ = 4 \times 15 = 60$

25 paise coins are 5x$ = 5 \times 15 = 75$

Hence, the required answer is 45, 60, and 75.

So option D is the correct answer.

Note: Whenever we face such types of questions the key concept for solving the question is first always try to assume the given ratio with some variables. Here in this question we will assume the number of coins. After that we need to find the value of coins. Then equate this value with the value that is given in the question. By this process you will find that variable that you let in the number of coins, after putting the value of that variable you will get the answer.

Given one rupee, 50 paise and 25 paise coins are in the ratio 3:4:5

Now, let the one rupee coins are 3x

And 50 paise coins are 4x

And 25 paise coins are 5x

And now we calculate the value of these coins.

For finding the values of coins first convert their value in one unit .i.e. convert the paise in rupees. And we know that 100 paise is equal to one rupees.

So by applying unitary method we can say that 50 paise= Rs. 0.5 and 25 paise=Rs. 0.25.

Value of one rupee coins $Rs.1 \times 3x = Rs.3x$

Value of 50 paise coin$Rs.0.5 \times 4x = Rs.2x$

Value of 25 paise coin $Rs.0.25 \times 5x = Rs.1.25x$

So we can say that total value of the coin is Rs.3x+Rs.2x+Rs.1.25x=Rs.6.25x

And in the question it is given that the total value of the coin is Rs.93.75.

Now we can equate the value of coins,

i.e. Rs.6.25x=Rs.93.75

$\therefore $x=15

And now we put the value of x that we suppose at the starting of the question. To find the number of coins.

One rupee coins are 3x$ = 3 \times 15 = 45$

50 paise coins are 4x$ = 4 \times 15 = 60$

25 paise coins are 5x$ = 5 \times 15 = 75$

Hence, the required answer is 45, 60, and 75.

So option D is the correct answer.

Note: Whenever we face such types of questions the key concept for solving the question is first always try to assume the given ratio with some variables. Here in this question we will assume the number of coins. After that we need to find the value of coins. Then equate this value with the value that is given in the question. By this process you will find that variable that you let in the number of coins, after putting the value of that variable you will get the answer.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

The states of India which do not have an International class 10 social science CBSE

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

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

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

Difference Between Plant Cell and Animal Cell

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

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

Name the three parallel ranges of the Himalayas Describe class 9 social science CBSE