A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained $$16\frac{2}{3}$$% . The cost price of the commodity is = ?
A. Rs. 32
B. Rs. 36
C. Rs. 40
D. Rs. 48
Answer: Option C
Solution(By Examveda Team)
Let the CP1 of commodity = 100xInitial SP1 = 100x + 10% of 100x = 100x + 10x = 110x
Now, If He brought table at 10% discount. Therefore CP2 = 90x
Now SP2 = 90x + $$16\frac{2}{3}$$% of 90x = 90x + 15x =105x
According to question
SP1 - SP2 = 2
⇒ 110x - 105x = 2
⇒ 5x = 2
⇒ x = $$\frac{2}{5}$$
Initial Cost of commodity = 100 × $$\frac{2}{5}$$ = Rs. 40
Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
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