Question

The cost of 6.75 kg biscuits is 175.50. Ayesha bought 5 kg biscuits and

gave the shopkeeper 200. How much change did she receive from the

shopkeeper?​

Answer 1

Cost of one kg biscuit = 175.50/6.75=Rs.26

Cost of 5 kg biscuit will be= 26*5= Rs.130

So the shopkeeper will give her= 200-130=Rs.70

Hope this will help you

Answer 2

Question -:

The cost of 6.75 kg biscuits is Rs 175.50. Ayesha bought 5 kg biscuits and gave the shopkeeper Rs 200. How much change did she receive from the shopkeeper.

Answer -:

Ayesha got a change of Rs 70 from the shopkeeper.

Solution -:

Given -:

• Cost of 6.75 kg biscuits = Rs 175.50.

• Weight of biscuits Ayesha bought = 5 kg.

• Amount of money given to the shopkeeper = Rs 200.

To find -:

• The change Ayesha received from the shopkeeper.

Step-by-step explanation -:

To find the change Ayesha received from the shopkeeper, we first have to find the cost of 5 kg biscuits she bought.

Cost of 6.75 kg biscuits = Rs 175.50.

Cost of 1 kg biscuits =  $\frac{175.50}{6.75}$

The numbers are in decimals, and it will be difficult to divide them like this, so ignore the decimals and convert them into fractions.

$175.50=\frac{17550}{100}$

$6.75=\frac{675}{100}$

Now, we need to divide these fractions, so we have -:

$\frac{17550}{100}$ ÷ $\frac{675}{100}$

For dividing fractions, we need to find the reciprocal of the fraction in the RHS (Never find the reciprocal of the fraction in the LHS).

After finding the reciprocal, change the ÷ sign into × sign and put the reciprocal of the fraction there.

The reciprocal of  $\frac{675}{100} = \frac{100}{675}$

So, we get -:

$\frac{17550}{100}\: * \: \frac{100}{675}$

Now, we are just gonna apply the rules used while multiplying fractions, that is, we will reduce 2 numbers divisible by 1 number.

Lets reduce them.

First, lets divide 100 by 100, we get 1.

Now, lets divide 17550 by 675, we get 26.

After reducing the numbers, multiply the remaining numbers.

So, now we multiply -:

$\frac{26\:*\:1}{1\:*\:1} = \frac{26}{1} = Rs \ 26.$

We find that cost of 1 kg biscuits is Rs 26.

Thus, cost of 5 kg biscuits is Rs 26 × 5 = Rs 130.

Since we know the cost of 5 kg biscuits now, lets find the change received by Ayesha.

Change = Amount of money given - Cost price.

Thus, the change Ayesha received from the shopkeeper is -:

Rs 200 (Amount given to the shopkeeper) - Rs 130 (Cost price of 5 kg biscuits she bought) = Rs 70 (Change she received).

Thus, Ayesha got Rs 70 back from the shopkeeper.

___________________________________________________________

Additional information -:

What is Unitary Method?

Unitary method is the method in which we first find the cost of 1 and use it to find the cost of many. Not only cost, but we can use it to find other things too, like weight.

How to convert a decimal into fraction?

To convert a decimal into fraction, see the number of digits after the decimal point. Suppose we have 2 digits after the point, so when converting it into a fraction, we will put 2 zeroes after 1 and make it 100. This will be the denominator. And for the numerator, we will use the same number which was in the decimal. Suppose it was 6.75 (Given in the question), it has 2 digits. So, when converting it into a fraction, we will write this number only, but will ignore the decimal point. That means, 6.75 will become 675. This will be the numerator.

That's how you convert a decimal into fraction.