Question

Ganesh sold two cupboards for₹9240 each.on one cupboard he gained 20% and on the other he lost 20% find a) the cost price of the both the cupboard. b) profit or loss in whole transaction​

Answer 1

Given:

Ganesh sold two cupboards for₹9240 each. On one cupboard he gained 20% and on the other, he lost 20%

To Find:

a) the cost price of the both the cupboard.

b) profit or loss in whole transaction​

Solution:

Let the CP of the first cupboard be 100

Since it is given that Profit, P = 20% = 20

So, the SP = CP + Profit = (100 + 20)= 120

When SP = 120, CP = 100

When SP = 9240, CP = (100/120) x 9240 = 7700

∴ CP of the first cupboard is Rs 7700

Now, in the second case, there is a loss of 20%

So, SP = (100 - 20) = 80

When SP = 80, CP = 100

When SP = 9240, CP = (100/80) x 9240 = 11550

∴ CP of the second cupboard is Rs 11550

Solving the second part,

Total CP = (11500 + 7700) = 19250

Total SP = (9240 + 9240) = 18480

Since, CP is higher than the SP, loss has incurred

Loss = CP - SP = (19250 - 18480) = 770

Hence, there is a total loss of Rs 770 in the whole transaction.