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A dishonest trader mixes the equal quantity of chili powder worth Rs.100 per kg with a packet worth Rs.40 per kg and labels up 20%, also while selling, he weighs 900 grams instead of 1 kg. How much discount he should give to earn a 14(2/7)% profit?
  • a)
    30%
  • b)
    100/7%
  • c)
    125/7%
  • d)
    36%
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A dishonest trader mixes the equal quantity of chili powder worth Rs.1...
GIVEN:
Price of the first type of chili powder = Rs. 100 per kg
Price of the second type of chili powder = Rs. 40 per kg
Benefit by weighing 1 kg = 100 grams
(i) When a trader gives 900 grams of chili powder instead of 1000 grams, he earns a profit of 100 grams on every 900 grams of selling, and not on 1000 grams.
CALCULATIONS:
A dishonest trader mixed chili powder worth Rs. 100 per kg with Rs. 40 per kg
Assuming mixture 50 : 50
Rate of 1 kg of mixture = (100 + 40)/2 = 70
Cost of 900 g = (900/1000) × 70 = 63 Rs
CP = Rs 63
To earn a 14 2/7 % profit.​ = 100/7 %
Profit =  (100/700) × 63  =  9  Rs
SP = 63 + 9 = 72  Rs
Labelled = 70 + (20/100) × 70 = Rs 84 Per kg
Discount   = 84 – 72 = Rs. 12
Discount% = (12/84) × 100  = 10/7%
∴ The discount is 100/7%.
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A dishonest trader mixes the equal quantity of chili powder worth Rs.100 per kg with a packet worth Rs.40 per kg and labels up 20%, also while selling, he weighs 900 grams instead of 1 kg. How much discount he should give to earn a 14(2/7)%profit?a)30%b)100/7%c)125/7%d)36%e)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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