Kamya purchased an item for Rs., 46,000 and s | vedclass

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Question

(A) Initial Cost Price $(CP_1) = Rs.\, 46,000$.Loss percentage $= 12\%$.Selling Price $(SP_1) = CP_1 	imes (1 - \frac{12}{100}) = 46,000 	imes 0.88

Vedclass · Accepted Answer

Loss of $Rs.\, 662.40$

Vedclass · Answer

(A) Initial Cost Price $(CP_1) = Rs.\, 46,000$.Loss percentage $= 12\%$.Selling Price $(SP_1) = CP_1 	imes (1 - \frac{12}{100}) = 46,000 	imes 0.88 = Rs.\, 40,480$.Now,she purchases another item with this amount,so $CP_2 = Rs.\, 40,480$.She sells this item at a gain of $12\%$.Selling Price $(SP_2) = CP_2 	imes (1 + \frac{12}{100}) = 40,480 	imes 1.12 = Rs.\, 45,337.60$.Overall Loss $= CP_1 - SP_2 = 46,000 - 45,337.60 = Rs.\, 662.40$.Alternatively,using the net percentage change formula for successive loss and gain of $x\%$: Net change $= -\frac{x^2}{100} = -\frac{12^2}{100} = -1.44\%$.Loss $= 1.44\% 	ext{ of } 46,000 = \frac{1.44}{100} 	imes 46,000 = 14.4 	imes 46 = Rs.\, 662.40$.

Kamya purchased an item for $Rs.\, 46,000$ and sold it at a loss of $12\%$. With that amount,she purchased another item which she sold at a gain of $12\%$. What was her overall gain or loss?

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