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A sells an article to B at gain of 25% B sells it to C at a gain of 20% and C sells it to D at a gain 10%. If D pays Rs. 330 for it, how much did it cost to A?

a) Rs. 200
b) Rs. 250
c) Rs. 275
d) Rs. 290

Answer: a
Explanation: Let Cost Price for A was 100
Then C.P for B = 100 + 25% of 100 = 125
C.P for C = 125 + 20% of 125 = 150
C.P for D = 150 + 10% of 150 = 165
But, D pay Rs. 330, Then it must be equal to
165 = 330
1 = $$\frac{{330}}{{165}}$$
100 = $$\frac{{330 \times 100}}{{165}} = 200$$
Thus, C.P for A = Rs. 200

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