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Praveen sells a study table to Zoya at a loss of 10%, and Zoya sells the study table to Aadarsh at a profit of 25%. If Aadarsh purchased the study tab
Question

Praveen sells a study table to Zoya at a loss of 10%, and Zoya sells the study table to Aadarsh at a profit of 25%. If Aadarsh purchased the study table for Rs. 2,250, then what was the cost (in) of the study table for Praveen?

A.

Rs. 2,000

B.

Rs. 2,100

C.

Rs. 1,800

D.

Rs. 1,900

Correct option is A

Given:
Praveen sells the study table to Zoya at a loss of 10%.
Zoya sells the study table to Aadarsh at a profit of 25%.
Aadarsh bought the study table for Rs. 2,250.
Formula Used:
Selling Price (SP)=Cost Price (CP)×(1+Profit%100)orCost Price (CP)×(1Loss%100)\text{Selling Price (SP)} = \text{Cost Price (CP)} \times \left(1 + \frac{\text{Profit\%}}{100}\right) or \text{Cost Price (CP)} \times \left(1 - \frac{\text{Loss\%}}{100}\right)​​
Solution:
Let the cost price for Praveen be Rs. P.
Zoya's cost price = 90% of P = 0.90P.
Aadarsh's cost price = 1.25 × (0.90P) = 1.125P.
Given Aadarsh's cost price = Rs. 2,250,
1.125P = 2,250.
P = 2,250 / 1.125
P = Rs. 2,000.

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