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: Option A
Solution(By Examveda Team)
First Method Let Cost Price for A was 100 Then CP for B = 100 + 25% of 100 = 125 CP for C = 125 + 20% of 125 = 150 CP 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, CP for A = Rs. 200 Short-cut A's CP = $$330 \times \frac{{100}}{{125}} \times \frac{{100}}{{120}} \times \frac{{100}}{{110}}$$ = Rs. 200This Question Belongs to Arithmetic Ability >> Profit And Loss
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step 1:
Amount*rate/100+rate = 330*10/110=30
330-30=300
step 2:
300*20/120=50
300-50=250
Step 3:
250*25/125=50
250-50=200(solution)