Question

47. Sales of a book decreases by 2.5% when its price is hiked by 5%. The effect on the sales is
A) Profit of 3% B) Loss of 3% C) Profit of 2.4% D) Loss of 2.4%.
48. If A:B = 7: 9 and B: C = 6: 7 then A: C is​

Answer 1

Answer:

C = 6:7 then A:C is

is your right answer

Answer 2

47. The effect on the sales is Profit of 2.4% and option(c) is correct.

Step-by-step explanation:

Given:

Sales of a book decreases by 2.5% when its price is hiked by 5%.

To Find:

The effect on the sales.

Solution:

Let the original price of book is Rs.100.

As given-its price is hiked by 5%.

New price of book  $= 100( 1+\frac{5}{100} )$

                                  $=100(\frac{105}{100} ) =Rs.105$

The original  selling price of 100 book $=100\times 100=Rs.10000.$

As given-Sales of a book decreases by 2.5%.

The selling price of at new price of book $= 105( 1-\frac{2.5}{100} )$

                                                                    $= 105(\frac{97.5}{100} )= Rs.102.3750$

The selling price of at new price of  100 book  $=100\times 102.3750$

                                                                              $= Rs.10237.50$

Profit =The selling price of at new price of  100 book-The original  selling price of 100 book.

         $=Rs.10237.50- Rs.10000= Rs.237.50$

% Profit $=( \frac{237.50}{10000} )\times 100$

             $=2.37\%\ or\ 2.4\%.$

Thus, the effect on the sales is Profit of 2.4% and option(c) is correct.

48. The value of A: C is $\frac{2}{3}$.

Step-by-step explanation:

Given:

 $A:B = 7: 9$ and $B: C = 6: 7.$

To Find:

The value of A: C.

Solution:

As given- $A:B = 7: 9$ and $B: C = 6: 7.$

$\frac{A}{B}= \frac{7}{9}$    -----    equation no.01.

$\frac{B}{C}= \frac{6}{7}$   -----   equation no.02.

Multiplying the equation no.01 and equation no.02, we get.

$\frac{A}{B} \times \frac{B}{C} =\frac{7}{9} \times \frac{6}{7}$

$\frac{A}{C} =\frac{6}{9} =\frac{2}{3}$

$A:C=2:3$

Thus, The value of A: C is $\frac{2}{3}$.

PROJECT  CODE #SPJ3