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Anonymous:
use alligation and mixture
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Solution :
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Total C.P. of Horse and carriage = 3000.
SP of these two = 102% of 3000 = 3060.
Let C.P. of Horse was X and Carriage was Y.
∴ X + Y = 3000.
⇒ Y = 3000 - X -------------------- (i)
S.P. of the Horse = 120% of X = 1.2X
S.P. of the carriage = 90% of Y = 0.90Y.
Total SP = 3060
1.2X + 0.90Y = 3060
Using Equation (i)
1.2X + 0.90 * (3000 - X) = 3060
1.2X + 2700- 0.90 = 3060
0.3X = 3060 - 2700
0.3X = 360
X = 360/0.3
= Rs. 1200
So, the Cost Price of the Horse = Rs. 1200
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