A sold an article to b at a profit of 2.5%, b sold the same article to c at a loss of 10%, if c paid rs 9.90 for it, how much did it cost to a ?
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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 = 330/165
100 = (330 * 100)/165 = 200.
Thus, CP for A = Rs. 200.
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 = 330/165
100 = (330 * 100)/165 = 200.
Thus, CP for A = Rs. 200.
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