Question

1. Brand A is offering Flat 50% discount on all its products.
2. Brand B is offering Upto 70% discount on all its products.
3. Of two pairs of jeans bought from both the brands which were at the same marked price,
Jeans of brand B will be cheaper.
If the first two statements are true, the third statement is:
True
False
uncertain​

Answer 1

If the first two statements are true the the third statement will be also  true.

Step-by-step explanation:

Given:

Brand A is offering Flat 50% discount on all its products.

Brand B is offering Upto 70% discount on all its products.

Two pairs of jeans bought from both the brands A and B which were at the same marked price.

Jeans of brand B will be cheaper.

To Find:

To find out if the first two statements are true then the third statement will be true or false.

Solution:

Let marked price on jeans  for Brand A is P.

As given the marked price on jeans for Brand B will be P.

Sellling price for two pairs of jeans for Brand A $=4P$

Sellling price for two pairs of jeans for Brand A after 50% discount $=4P-4P\times\frac{50}{100}$

$= 4P(\frac{100-50}{100} )$

$=4P\times0.5$

$= 2P$                      

                                                                                                           

Sellling price for two pairs of jeans for Brand B $=4P$

Sellling price for two pairs of jeans for Brand A after 70% discount$=4P-4P\times\frac{70}{100}$

$= 4P(\frac{100-70}{100} )$                                

 $=4P\times0.3$  

  $=1.2P$                                                                                                    

Sellling price for two pairs of jeans for Brand A after 70% discount is less than  Sellling price for two pairs of jeans for Brand A after 50% discount.

Hence , Jeans of brand B will be cheaper.

Thus, If the first two statements are true then the third statement  will be also true.

Answer 2

Answer:

Uncertain

Step-by-step explanation:

Brand A is offering Flat 50% discount and Brand B is offering upto 70% discount having the same marked price.

This means, Suppose MP=100x

then,  Brand A would be = 100x- $\frac{50}{100}$(100x)= 50x

Brand B is offering  upto 70% which means it ranges from 1-70% . If discount is above than 50% then Brand B will be cheaper, if the discount is less than 50%  then Brand B will be more expensive than Brand A.

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