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A man bought a horse for a certain amount and sold it at a loss of 8%. If he had received Rs.1,800 more, he would have gained 14.5 %. The cost price o
Question

A man bought a horse for a certain amount and sold it at a loss of 8%. If he had received Rs.1,800 more, he would have gained 14.5 %. The cost price of the horse is:

A.

Rs.3500

B.

Rs.6000

C.

Rs.8000

D.

Rs.5000

Correct option is C

Given:
Loss percentage = 8%
Formula Used:
Selling Price = Cost price - loss
Selling Price = Cost price + profit
Solution:
Let the CP of the horse = X
Loss Percentage = 8%
=> SP = X - [8100×X][\frac {8}{100} × X]​​
According to the given condition,
New Selling Price (SP)1 = SP + 1800
New Selling Price (SP)1=X(8100×X)+1800X+(29200×X)=X(8100×X)+180029200×X=1800(8100×X)(0.145×X)+(0.08×X)=18000.225×X=1800X=8000\text{New Selling Price (SP)}_1 = X - \left( \frac{8}{100} \times X \right) + 1800 \\X + \left( \frac{29}{200} \times X \right) = X - \left( \frac{8}{100} \times X \right) + 1800 \\\frac{29}{200} \times X = 1800 - \left( \frac{8}{100} \times X \right) \\(0.145 \times X) + (0.08 \times X) = 1800 \\0.225 \times X = 1800 \\X = 8000​​
Therefore, the CP of horses = Rs. 8000

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