A horse was sold for Rs. 60,000 at a profit of 20%. For what price should he have sold to gain a 30% profit?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. Rs. 64,000
  2. Rs. 65,000
  3. Rs. 50,000
  4. Rs. 55,000

Answer (Detailed Solution Below)

Option 2 : Rs. 65,000
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Detailed Solution

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Given:

By selling a horse for Rs. 60,000 a man gains 20%.

Formula used:

SP = CP(100+Profit%)/100

Calculations:

Let the CP = 100x.

By selling the horse at 20% profit, so SP will be:

SP = 100x(100+20)/100 = 120x

According to the question:

⇒ 120x = 60000

⇒ x = 500

⇒ CP = 100x = 50000

Now to gain 30%

⇒ SP = 50000(100+30)/100 = 65000

∴ The answer is Rs. 65,000.

 Shortcut Trick

We know 20% = 1/5, so CP = 5 unit & SP = 6 unit

So, CP of the horse = 60000 × 5/6 = 50000

To gain 30% profit the required SP = 50000 × 130/100 = Rs.65,000

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