Question

In a different combo offers provided by a shop, there are total of 8 different things. The average cost of eight different gifts is 12Rs. The average
cost of six different gifts is 10Rs. The average of the remaining two different gifts is​

Answer 1

The average cost  of the remaining two different gifts is Rs.18.

Explanation:

Given:

The average cost of eight different gifts is 12Rs.

The average cost of six different gifts is 10Rs.

To Find:

The average of the remaining two different gifts.

Solution:

As given-the average cost of eight different gifts is 12Rs.

The average cost of eight different gifts= Rs.12

$The\ average\ cost\ of\ eight\ different\ gifts=\frac{Total\ cost\ of\ eight\ different\ gifts }{Total\ nos.\ of\ different\ gifts}$

                                                                 $12=\frac{Total\ cost\ of\ eight\ different\ gifts }{8}$

   $Total\ cost\ of\ eight\ different\ gifts =12\times8=96$

  As given-the average cost of six different gifts is 10 Rs.      

    The average cost of six different gifts= Rs.10.

$The\ average\ cost\ of\ six\ different\ gifts=\frac{Total\ cost\ of\ six\ different\ gifts }{Total\ nos.\ of\ different\ gifts}$

                                                            $10=\frac{Total\ cost\ of\ eight\ different\ gifts }{6}$

$Total\ cost\ of\ eight\ different\ gifts =10\times6=60$

The cost of the remaining two different gifts = The total cost of eight different gifts- The total cost of six different gifts

                                                                           $=96-60\\=36$

$The\ average\ cost\ of \ remaining\ two\ different\ gifts=\frac{Total\ cost\ of\ two\ different\ gifts }{Total\ nos.\ of\ different\ gifts}$

                                                                  $=\frac{36 }{2}\\=18$

Thus, the average cost of the remaining two different gifts is Rs.18.

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Answer 2

Answer:

The average cost of the remaining two things is Rs. 18.

Explanation:

Given Data -

The total number of things provided by a shop in a different combo is 8.

The average cost of eight different gifts is Rs. 12

The average cost of six different gifts is Rs. 10

The average cost of the remaining two different gifts is to be calculated

Calculations -

(x1+x2+x3+......+x8)/8 = 12

(x1+x2+x3……+x6)/6 = 10

(x1+x2+x3…..+x6) = 60

Put the value of the third equation in the first equation,

(60+x7+x8)/8 = 12

60+x7+x8 = 96

x7+x8 = 96-60

x7+x8 = 36

The average cost of the remaining two things = (x7+x8)/2 = (36)/2 = 18

The average cost of the remaining two things is Rs. 18.

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