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B
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Difficulty:
85%
(hard)
Question Stats:
49% (02:07) correct
51%
(02:26)
wrong
based on 158
sessions
History
Date
Time
Result
Not Attempted Yet
Shuvo sells 45 lemons for tk. 40. and loses 20 %. How many should he sell for tk. 24. to gain 20 % in the transaction?
A. 16
B. 18
C. 20
D. 22
E. None of these
A. 16
B. 18
C. 20
D. 22
E. None of these
Simply, When 45 lemmons sold for 40 tk Shuvo loses 20%. So this price is actually 80%.
We have to make it 120% for 20% gain.
Therefore, \(\frac{45*(100-20)}{(100+20)}\)
\(= \)\(\frac{45*80}{120}\)
\(= 30\)
For 40 tk we have to sell 30 lemons
So, for 1 tk we have to sell \(\frac{30}{40}\)
Therefore, for 24 tk we have to sell \(\frac{30*24}{40}\)
= 18 tk
Answer is B
We have to make it 120% for 20% gain.
Therefore, \(\frac{45*(100-20)}{(100+20)}\)
\(= \)\(\frac{45*80}{120}\)
\(= 30\)
For 40 tk we have to sell 30 lemons
So, for 1 tk we have to sell \(\frac{30}{40}\)
Therefore, for 24 tk we have to sell \(\frac{30*24}{40}\)
= 18 tk
Answer is B
03 Oct 2021, 09:02
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So, 45's CP = 40*100/80 = 50 taka
At 100 taka, we get 90 lemons.
At 24 taka SP, we are earning a 20% gain. So, originally selling lemons worth 24*100/120 = 20 taka.
Per lemon price = 90/100
At 20 taka we are selling 90/100*20 = 18 lemon.
Ans. B
