Ram sells a car to Shyam at a profit of 25% and Shyam sells this car to Sita at a profit of 24%. Now Sita sells this car to Geeta at a loss of 20%. Now at what percentage loss should Geeta sell this now so that her selling price be equal to Ram’s cost price?

Ram sells a car to Shyam at a profit of 25% and Shyam sells this car to Sita at a profit of 24%. Now Sita sells this car to Geeta at a loss of 20%. Now at what percentage loss should Geeta sell this now so that her selling price be equal to Ram’s cost price? Correct Answer 19.35%

Given:

Ram sells the car to Shyam at the profit of 25%

Shyam sells this car to Sita at the profit of 24%

Sita sells this car to Geeta at the loss of 20%

Concept used:

S.P of Ram = C.P of Shyam

S.P of Shyam = C.P of Sita

S.P of Sita = C.P of Gita

Calculation:

Let the C.P of Ram be 100x

Profit = 25%

∴ S.P of Ram = (100x × 125/100)

⇒ S.P of Ram = 125x = C.P of Shyam

So, C.P of Shyam = 125x

Profit = 24%

∴ S.P of Shyam = (125x × 124/100)

⇒ S.P of Shyam = 155x = C.P of Sita

So, C.P of Sita = 155x

Loss = 20%

∴ S.P of Sita = (155x × 80/100)

⇒ S.P of Sita = 124x = C.P of Gita

C.P of Gita = 124x

Now, as given S.P of Gita should be equal to Ram’s C.P

So, S.P of Gita will be 100x

Loss = (124x – 100x)

⇒ Loss = 24x

∴ Loss percent =

⇒ Loss percent =

⇒ Loss Percent = 19.35%

Ratio Method:

After considering all the profit and loss:

Let the CP to SP ratio between Shyam and Sita be = 100 : 124

Let the CP to SP ratio between Ram and Shyam be = 4 : 5 or 80 : 100

Let the CP to SP ratio between Sita and Gita be = 124 : 99.2

Gita sold at the CP of Ram, ratio of CP: SP = 99.2 : 80