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Question

Find the gain or loss per cent, when:
(i) C.P. = Rs 4000 and gain = Rs 40.
(ii) S.P. = Rs 1272 and loss = Rs 328
(iii) S.P. = Rs 1820 and gain = Rs 420.

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Solution

(i) CP = Rs. 4000, gain = Rs. 40
Gain % = {(Gain/CP) × 100}% = {(40/4000) × 100}% = (0.01 × 100)% = 1%

(ii) SP = Rs. 1272, loss = Rs. 328
Loss = CP - SP
Hence, CP = Loss+ SP = Rs. 328 + Rs. 1272 = Rs. 1600
Loss % = {(Loss/CP) × 100}% = {(328/1600) × 100% = 20.5%

(iii) SP = Rs. 1820, gain = Rs. 420
Gain = SP - CP
CP = 1820 - 420 = Rs. 1400
Gain % = {(Gain/CP) × 100}% = {(420/1400) × 100% = 30%

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