A man bought a horse for a certain sum and sold it, at a loss of 8 % on his outlay. If he had received Rs. 1800 more, he would have gained 14½ % on his outlay. What did the horse cost
Answers
Answer:
The S.P of the horse = Rs 7360
Step-by-step explanation:
Let the C.P of the horse = x
Loss % = 8%
Loss = (8/100) * x
S.P = C.P - Loss
= x - (8/100) * x
The IF condition:
If he had received Rs 1800 more;
S.P1 = S.P + 1800
= x - (8/100) * x + 1800
Gain% = 14 1/2 % of C.P= 29/2 % of x
Gain = [(29/2) /100] * x
S.P1 = C.P + Gain
x - (8/100) * x + 1800 = x + [(29/2) /100] * x
=> 180000 - 8x = 29x/2
=> 360000 = 29x + 16x
=> 45x = 360000
=> x = 8000
Therefore, the C.P of the horse = x = Rs 8000
The S.P of the horse = S.P = C.P - Loss
= x - (8/100) * x
= 8000 - (8/100) * 8000
= 8000 - 640
= Rs 7360