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A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th

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Bunuel
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A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th [#permalink] New post   31 Dec 2019, 02:47
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Question Stats:

90% (01:58) correct 10% (01:48) wrong based on 40 sessions
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A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells the wheat at the rate of 8 per kg. But, for a regular customer his rate is Rs. 5 per kg. On selling the entire 20 kgs, he realizes he has not made any profit or loss. How many kgs were bought by regular customers?

A. 20/3 kgs
B. 20/6 kgs
C. 40/3 kgs
D. 40/6 kgs
E. None of these
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C
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Re: A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th [#permalink] New post   31 Dec 2019, 03:41
Let x be the no of kg bought by regular customer,


5x + (20-x)*8 = 120 ---> x=40/3
C

(Note : 120 = buying cost = 20*6)
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Re: A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th [#permalink] New post   31 Dec 2019, 04:05
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As no profit and no loss

Buying cost = Selling cost

Let Regular price per kg = Tk.x

5x + 8(20-x) = 120
5x + 160-8x = 120
3x = 120
x = 40/3(C)
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A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th [#permalink] New post   31 Dec 2019, 13:16
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Option C

Buy: \(20 kgs * 6 rs = 120 rs\)
Sell: \((20 - x)*8 rs + x*5 rs\)

As there's no profit: \(Buy = Sell\):
\((20 - x)*8 + x*5 = 120\)
\(x = \frac{40}{3}\)
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Re: A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th [#permalink] New post   31 Dec 2019, 16:30
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Solution



Given
    • A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg.
    • He sells the wheat at the rate of 8 per kg and for a regular customer his rate is Rs. 5 per kg.
    • On selling the entire 20 kgs, he realizes he has not made any profit or loss.

To find
    • How many kgs were bought by regular customers?

Approach and Working out

Let x kgs were bought by regular customers.
Hence, he sold (20-x) kgs at 8 per kg and x kg as 5 per kg.
    • He did not make any profit.
      o Hence, SP = CP
      o (20-x) * 8 + x *5 = 20*6
      o 160 – 8x +5x = 120
      o 3x = 40
      o x = 40/3

Thus, option C is the correct answer.

Correct Answer: Option C
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Re: A trader buys 20 kgs of wheat at the rate of Rs. 6 per kg. He sells th [#permalink]
31 Dec 2019, 16:30
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