A person sold a radio at a loss of 5 %. Had h | vedclass

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(D) Let the cost price of the radio be $CP$.Initially,the radio is sold at a loss of $5 \%$,so the selling price $SP_1 = CP 	imes (1 - 0.05) = 0.95 \

Vedclass · Accepted Answer

$945$

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(D) Let the cost price of the radio be $CP$.Initially,the radio is sold at a loss of $5 \%$,so the selling price $SP_1 = CP 	imes (1 - 0.05) = 0.95 	imes CP$.If sold for $Rs. 210$ more,the new selling price $SP_2 = SP_1 + 210 = 0.95 	imes CP + 210$.In this case,the gain is $25 \%$,so $SP_2 = CP 	imes (1 + 0.25) = 1.25 	imes CP$.Equating the two expressions for $SP_2$: $1.25 	imes CP = 0.95 	imes CP + 210$.$0.30 	imes CP = 210$,which gives $CP = \frac{210}{0.30} = 700$.The cost price of the radio is $Rs. 700$.To gain $35 \%$,the required selling price $SP_3 = CP 	imes (1 + 0.35) = 700 	imes 1.35 = 945$.Thus,the radio should be sold for $Rs. 945$ to gain $35 \%$.

$A$ person sold a radio at a loss of $5 \%$. Had he sold it for $Rs. 210$ more,he would have gained $25 \%$. For what value should he sell it in order to gain $35 \%?$

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