a person bought a horse and a vehicle for Rs 40000. he sold horse at 5% loss on the whole transaction he got profits of 1% find cp of horse?
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1
solution:- Total CP of a horse and a carriage = $ 40,000.
Suppose the C.P. of horse be $ y, then
C.P. of carriage = $ (40000 – y)
Then,
∴110 × y+(40000 - y) × 95=40000 × 101100100100
⇒ 110y + 3800000 – 95y = 4040000
⇒ 15y = 4040000 – 3800000
⇒ 15y = 240000
⇒ y =240000= $ 1600015
Answered by
1
Answer:-
Total CP of Horse and Vehicle = 40,000.
SP of these two = 40000 + 1% of 40000 = 40400.
Let Cp of Horse was X and Vehicle was Y. Then
X + Y = 40000.
Y = 40000 - X ----------- (1)
SP of Horse = X + 10% of X = 1.1X
SP of Vehicle = Y - 5% of Y = 0.95Y.
Total SP = 40400
1.1X + 0.95Y = 40400
Using Equation 1.
1.1X + 0.95 * (40000 - X) = 40400
1.1X + 38000- 0.95 = 40400
0.15X = 40400 - 38000
X = 2400/0.15 = Rs. 16000.
CP of the Horse = Rs. 16000.
Hence,the cp of the horse is Rs. 16000.
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