a) 125%
b) 100%
c) 98.66%
d) 120%
Answer: a
Explanation: Let actual cost price of an article be Rs. 1 (in place of X). Now he purchases goods worth Rs. 120 and pays Rs. 80, since 20% discount is allowed.
CP = $$\frac{{80}}{{120}} = \frac{2}{3}$$
Again, MP, SP = 135 (since 25% discount)
Thus, the trader sells goods worth Rs. 90 instead of 100g and charges Rs. 135.
Then the effective SP = $$\frac{{135}}{{90}} = \frac{3}{2}$$
$$\eqalign{
& {\text{Profit}}\,\% \cr
& = {\frac{{ { {\frac{3}{2}} – {\frac{2}{3}} } }}{{\frac{2}{3}}}} \times 100 \cr
& = 125\% \cr} $$
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