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A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 32% less than what is written on it. F
Question

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 32% less than what is written on it. Find his profit percentage.

A.

48217\frac 2{17}​%

B.

46117\frac 1{17}​%

C.

47117\frac 1{17}​%

D.

49217 \frac2{17}​%

Correct option is C

Given:

Shopkeeper sells at cost price per unit but uses a weight that is 32% less than marked

=> actual weight given = 68% of marked

Formula Used:

When selling at marked cost per unit but giving x% less quantity,

profit % = x100x×100 \frac{x}{100-x}\times 100​​

Solution:

Profit% = 3210032×100 \frac{32}{100 - 32}\times 100​​

3268×100\frac{32}{68}\times 100​​

= 4711747\frac1{17}​% 

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