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Pinkey sold a machine to Shalini at a profit of 30%. Shalini sold this machine to Arun at a loss of 20%. If Pinkey paid Rs.5000 for this machine, then find the cost price of machine for Arun?
  • a)
    6200
  • b)
    5200
  • c)
    4800
  • d)
    4750
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Pinkey sold a machine to Shalini at a profit of 30%. Shalini sold this...
R1 = 30% R2 = 20%
5000 * 130/100 * 80/100 = Rs. 5200
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Most Upvoted Answer
Pinkey sold a machine to Shalini at a profit of 30%. Shalini sold this...
Given:
Profit earned by Pinkey = 30%
Cost price of machine for Pinkey = Rs. 5000

To find:
Cost price of machine for Arun

Solution:
Let's first find the selling price of the machine for Pinkey.

Profit earned by Pinkey = 30%

Profit = 30% of cost price
Profit = (30/100) × 5000
Profit = Rs. 1500

Selling price of machine for Pinkey = Cost price + Profit
Selling price of machine for Pinkey = 5000 + 1500
Selling price of machine for Pinkey = Rs. 6500

Now, let's find the cost price of the machine for Shalini.

Shalini bought the machine from Pinkey at Rs. 6500.
Now, Shalini sold the same machine to Arun at a loss of 20%.

Loss percentage = 20%

Loss = 20% of selling price
Loss = (20/100) × 6500
Loss = Rs. 1300

Selling price of machine for Arun = Selling price of machine for Shalini - Loss
Selling price of machine for Arun = 6500 - 1300
Selling price of machine for Arun = Rs. 5200

Therefore, the cost price of the machine for Arun is Rs. 5200.

Hence, option (b) is the correct answer.
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Community Answer
Pinkey sold a machine to Shalini at a profit of 30%. Shalini sold this...
B
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