A TV set is being sold for Rs. x in Chandigar | vedclass

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Question

(C) Let the selling price $(SP)$ of the $TV$ in Chandigarh be $Rs. x$.The dealer bought the $TV$ in Delhi at a $20\%$ discount on the Chandigarh price

Vedclass · Accepted Answer

$8000$

Vedclass · Answer

(C) Let the selling price $(SP)$ of the $TV$ in Chandigarh be $Rs. x$.The dealer bought the $TV$ in Delhi at a $20\%$ discount on the Chandigarh price,so the purchase price is $x - 0.20x = 0.8x$.Total cost price $(CP)$ including transportation is $0.8x + 600$.The profit percentage is given as $14 \frac{2}{7}\% = \frac{100}{7}\%$.Using the formula: $	ext{Profit}\% = \frac{SP - CP}{CP} 	imes 100$.$\frac{100}{7} = \frac{x - (0.8x + 600)}{0.8x + 600} 	imes 100$.Dividing both sides by $100$: $\frac{1}{7} = \frac{0.2x - 600}{0.8x + 600}$.Cross-multiplying: $0.8x + 600 = 7(0.2x - 600)$.$0.8x + 600 = 1.4x - 4200$.$4200 + 600 = 1.4x - 0.8x$.$4800 = 0.6x$.$x = \frac{4800}{0.6} = 8000$.Therefore,the value of $x$ is $Rs. 8000$.

$A$ $TV$ set is being sold for $Rs. x$ in Chandigarh. $A$ dealer went to Delhi and bought the $TV$ at a $20\%$ discount (from the price of Chandigarh). He spent $Rs. 600$ on transport. Thus,he sold the set in Chandigarh for $Rs. x$,making a $14 \frac{2}{7}\%$ profit. What was $x$ in $Rs.?$

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