A shopkeeper has 100 kg of wheat flour which he sells in packets of 5 kg at cost price. Every time after selling one packet, he adds an equal amount of husk to the leftover flour. What percentage profit does the shopkeeper earn on the packet sold to the 4th customer?

- a)15%
- b)14.26%
- c)16.67%
- d)18%

Correct answer is option 'C'. Can you explain this answer?

Related Test: CAT Mock Test - 1

2 Answers

Suman Raj
answered
Jun 07, 2019

STOCK. SOLD TO CUSTOMER

100 kg flour ~ 5 kg flour to 1st customer

95kg flour + 5kg husk ~ 4.75kg flour + 0.25kg husk to 2nd customer.

90.25kg flour + 9.75kg husk ~ 4.5125kg flour + 0.4875kg husk to 3rd customer.

85.7375kg flour + 14.2625kg husk ~ 4.286875kg flour + 0.713125kg husk to 4th customer

Profit made to 4th customer =( 0.713125/4.286875)*100

100 kg flour ~ 5 kg flour to 1st customer

95kg flour + 5kg husk ~ 4.75kg flour + 0.25kg husk to 2nd customer.

90.25kg flour + 9.75kg husk ~ 4.5125kg flour + 0.4875kg husk to 3rd customer.

85.7375kg flour + 14.2625kg husk ~ 4.286875kg flour + 0.713125kg husk to 4th customer

Profit made to 4th customer =( 0.713125/4.286875)*100

Seema
answered
Feb 17, 2020

Solution: When the shopkeeper sells for the 4th time, he has replaced flour by husk 3 times.

If the cost price per kg is Re. 1, then in the 4th transaction,

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