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An intelligent shopkeeper uses a special weighing balance in which one

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nick1816
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An intelligent shopkeeper uses a special weighing balance in which one [#permalink] New post   07 Jun 2019, 00:55
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An intelligent shopkeeper uses a special weighing balance in which one pan is heavier than the other. While purchasing the material, he places a 1 kg weight on the heavier side but while selling the same product, he places 1 kg weight on the lighter side. If he decides to sell his goods at the cost price and gets an overall gain of 50 %, then find the value by which one side of the balance is heavier than the other?

A. 100 gm
B. 150 gm
C. 200 gm
D. 250 gm
E. 300 gm
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C
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Re: An intelligent shopkeeper uses a special weighing balance in which one [#permalink] New post   07 Jun 2019, 05:09
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nick1816 wrote:
An intelligent shopkeeper uses a special weighing balance in which one pan is heavier than the other. While purchasing the material, he places a 1 kg weight on the heavier side but while selling the same product, he places 1 kg weight on the lighter side. If he decides to sell his goods at the cost price and gets an overall gain of 50 %, then find the value by which one side of the balance is heavier than the other?

A. 100 gm
B. 150 gm
C. 200 gm
D. 250 gm
E. 300 gm


While purchase


He purchases 1000+x g for the price of 1000g.

While selling


He sells 1000-x for the price of 1000g.

So what is his cost price - 1000-x
His profit x while purchasing and x while selling, so 2x

Thus, \(\frac{2x}{1000-x}=\frac{50}{100}......4x=1000-x....5x=1000....x=200\)

C
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Re: An intelligent shopkeeper uses a special weighing balance in which one [#permalink] New post   09 Sep 2019, 07:49
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nick1816 wrote:
An intelligent shopkeeper uses a special weighing balance in which one pan is heavier than the other. While purchasing the material, he places a 1 kg weight on the heavier side but while selling the same product, he places 1 kg weight on the lighter side. If he decides to sell his goods at the cost price and gets an overall gain of 50 %, then find the value by which one side of the balance is heavier than the other?

A. 100 gm
B. 150 gm
C. 200 gm
D. 250 gm
E. 300 gm


Trying options..

He purchases 1200g for the price of 1000g.
He sells 800g for the price of 1000g.

Cost Price=800
He gained 200g on each of his transaction (buying and selling)
so 400 over 800 is 50%.

Hence C
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Re: An intelligent shopkeeper uses a special weighing balance in which one [#permalink] New post   13 Sep 2019, 00:42
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Let the weight of the heavier pan be 'x' kgs more than the lighter pan and the cost price of 1 kg of the merchandise be $'p'.
When appearing to buy 1 kg, since he puts the weights on the heavier pan and the merchandise on the lighter one, he actually gets (1+x) kg for $p. That is, buying 1 kg costs him $p/(1+x).
While appearing to sell 1 kg, since he puts the merchandise on the heavier pan and the weights on the lighter one, he actually sells (1-x) kg for $p.
That is, selling 1 kg fetches him $p/(1-x).
Since his overall gain is 50% [i.e. his sales revenue is (3/2) times of cost of goods]:
p/(1-x) = (3/2)*p/(1+x)....> (3/2)*(1-x) = 1+x....> x = (1/5) kg = 200 gms.
ANS: C
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Re: An intelligent shopkeeper uses a special weighing balance in which one [#permalink] New post   15 Sep 2019, 01:10
I am not clear with this question .Can anybody please help
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Re: An intelligent shopkeeper uses a special weighing balance in which one [#permalink]
15 Sep 2019, 01:10
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