Question

(48. When a discount of 20% is given on a monthly train
pass, the profit is 44%. If the discount is 29%, then the
profit is?
(a) 73%
(b) 118.2%
(c) 17.4%
(d) 27.8%​

Answer 1

Step-by-step explanation:

80=144

so,

71=144×71/80

127.8

so profit =127.8-100

27.8%

Answer 2

Solution :-

Let, the marked price of a monthly train pass

= 100x

Discount offered on the pass = 20%

Total discount = 100x ×20% = 20x

New price = 100x - 20x = 80x

80x is the Selling price on which there is a profit of 44%.

Let, cost price of monthly price be 100y

Then :-

Selling price will be 144y as there is 44% profit on Cost price.

Now 144y = 80x as both correspond to CP.

y/x=5/9

We get the relation between y and x that is 5z:9z

Now, Mp will be 100x = 100×9

Mp = 900z

Cp will be 100y = 500z

Now :-

The new discount on mp is 29%

Therefore new Selling price would be=900z -29%of 900z = 639z

Cp = 500z

Sp = 639z

Profit% = (Sp-cp/cp) × 100

= (639z-500z/500z) × 100

= (139/500)×100

= 17.4%

Hence :-

The required answer is option C (17.4%).