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A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs 600 less, he would have made a profit of 32%. The cost price of the horse was:
- A3750
- B3250
- C2750
- D2250
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CCommunity
Let the CP of the horse be k
Then SP of the horse = k + 15% of k
= k + 0.15k
= 1.15k
If he would have bought it for 25% less, CP = k – 25% of k
= k – 0.25k
= 0.75k
SP = 1.15k – 600
Profit = SP – CP
= 1.15k – 600 – 0.75k
= 0.4k – 600
Profit% = (Profit/CP) × 100
⇒ 32 = (0.4k – 600) × 100/0.75k
⇒ 24k = 40k – 60000
⇒ 16k = 60000
⇒ k = 60000/16
⇒ k = 3750
Then SP of the horse = k + 15% of k
= k + 0.15k
= 1.15k
If he would have bought it for 25% less, CP = k – 25% of k
= k – 0.25k
= 0.75k
SP = 1.15k – 600
Profit = SP – CP
= 1.15k – 600 – 0.75k
= 0.4k – 600
Profit% = (Profit/CP) × 100
⇒ 32 = (0.4k – 600) × 100/0.75k
⇒ 24k = 40k – 60000
⇒ 16k = 60000
⇒ k = 60000/16
⇒ k = 3750