a horse is sold at a profit of 25% if both the cost price and selling price of rupees 200 less the profit will be 5% is the cost price is
Answers
The cost price of the horse is 1200.
Step-by-step explanation:
Let the cost price = c
Profit = 25%
Selling price = Cost price + profit
= c + 0.25c
= 1.25c
Now the profit will be 5% more = 30%
new cost price = c - 200
new selling price = 1.25c - 200
(1.25c - 200) - (c - 200) = 30%(c- 200)
(1.25c - 200) - (c - 200) = 0.30(c - 200)
0.25c = 0.3c - 60
-0.05c = -60
c = 1200
The cost price of the horse is 1200.
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The cost price of the horse is Rs. 1200
Step-by-step explanation:
Let cost price of the horse = x
Let selling price of the horse = x + 25% of x = x + 0.25x = 1.25x
Now,
The new cost price of the horse = x - 200
The new selling price of the horse = 1.25x - 200
New profit is:
1.25x - 200 - x + 200 = 0.25x
New profit = 30% of x - 200
30% of x - 200 = 0.25x
⇒ 0.25x = (30 × (x - 200))/100
25x = 30 × (x - 200)
25x = 30x - 6000
5x = 6000
∴ x = 1200