A lady sold an article for Rs. 960 at some profit. Had she sold it for Rs. 800, then there would have been a loss equal to $$\frac{1}{3}$$ of the initial profit. What was the profit percentage of the article?
A. $$\frac{{50}}{7}\% $$
B. $$\frac{{10}}{7}\% $$
C. $$\frac{{100}}{7}\% $$
D. $$\frac{{150}}{7}\% $$
Answer: Option C
Solution (By Examveda Team)
S.P1 = 960S.P2 = 800
There would have been a loss equal to $$\frac{1}{3}$$ of the previous profit.
Loss = $$\frac{1}{3}$$ × Profit
C.P - S.P2 = $$\frac{1}{3}$$[S.P1 - C.P]
3C.P - 2400 = 960 - CP
4C.P = 3360
C.P = 840
Profit = 960 - 840 = 120
Profit % $$ = \frac{{120}}{{840}} \times 100 = \frac{{100}}{7}\% $$
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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