PROFIT AND LOSS Solved Problems

1.    If the cost price is 96% of the selling price, then what is the profit percent?
     Sol:  Let S.P. = Rs.100. Then, C.P. = Rs. 96; Profit = Rs.4.
 => Profit% = [4/96 * 100]% = 25/6 % = 4.17%.

2.    A person incurs 5% loss by selling a watch for Rs.1140. At what price should the watch be sold to earn 5% profit?
     Sol:  S.P. = Rs. 27.50, Profit = 10%.
So, C.P. = Rs.[100/110*27.50] = Rs. 25. When S.P. = Rs. 25.75, profit = Rs. (25.75-25) = Re. 0.75.
 => Profit% = [0.75/25*100]% = 3%.

3.    A person incurs 5% loss by selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit?
     Sol: Let the new S.P. be Rs. x. then,
(100 - loss%) : (1st S.P.) = (100 + gain%) : (2nd S.P.)
 => [100-5/1140] = [100+5/x] ? x = [105*1140/95] = 1260.

4.    Find S.P when C.P=Rs 56.25 and Gain=20%
     Sol.56.25 * 1.2 = 67.5.

5.     If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
     Sol: Loss = 490 – 465.5 = 24.5 loss in % = 24.5/ 490 *100 = 5%.

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