Question

# A man sold a bicycle at 5 percent profit. If the cost price had been 30 percent less and the selling price ₹63 less he would have made a profit of 30 percent. What was the cost price of the bicycle

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Solution

## Solution :- Let the cost price be Rs. 100. Gain = 5 % Selling price = 100 + 5 % of 100 S.P. = Rs. 105 If the C.P. had been 30 % less then, Supposed C.P. = Rs. 70 Gain = 30 % S.P. = 70 + 30 % of 70 = 70 + 21 New S.P. = Rs. 91 Difference between old S.P. and new S.P. = 105 - 91 = Rs. 14 If the difference is Rs. 14 then the C.P. = Rs. 100 If the difference is Rs. 1 then the C.P. = 100/14 If the difference is Rs. 63 then the C.P. will be = (100×63)/14 Cost Price = Rs. 450 Hence, the cost price of the bicycle is Rs. 450 Answer.

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