A person sells taperecorders at Rs. 1134 each | vedclass

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Question

(A) Let the marked price be $MP$ and the cost price be $CP$.Given that the selling price $SP = Rs. 1134$ after a discount of $19 \%$.$SP = MP 	imes (

Vedclass · Accepted Answer

$1000$

Vedclass · Answer

(A) Let the marked price be $MP$ and the cost price be $CP$.Given that the selling price $SP = Rs. 1134$ after a discount of $19 \%$.$SP = MP 	imes (1 - 0.19) = 0.81 	imes MP = 1134$.$MP = \frac{1134}{0.81} = 1400$.If no discount were given,the selling price would be equal to the marked price,i.e.,$SP' = MP = 1400$.In this case,the profit is $40 \%$ on the cost price.$SP' = CP 	imes (1 + 0.40) = 1.40 	imes CP$.$1400 = 1.40 	imes CP$.$CP = \frac{1400}{1.40} = 1000$.Thus,the cost price of each taperecorder is $Rs. 1000$.

$A$ person sells taperecorders at $Rs. 1134$ each after giving a discount of $19 \%$ on the marked price. Had he not given the discount,he would have earned a profit of $40 \%$ on the cost price. The cost price of each taperecorder is (in $Rs.$)

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