Question

An item costing Rs. $840$ was sold by a shopkeeper at a gain of $10\%$ and it was again sold by the new buyer at a loss of $5\%$.The final selling price of the item is:

• A. Rs. $877.80$
• B. Rs. $798$
• C. Rs. $924$
• D. Rs. $37.80$

Answer 1

The correct option is A Rs. $877.80$

$C.P.$ $=$ Rs. $840$

$Gain$ $=10\%$

$S.P.$ $=\frac{100+\text{gain percentage}}{100}\times$ $C.P$

$S.P.$ $=\frac{100+10}{100}\times 840$

$\Rightarrow \frac{110}{100}\times 840=$ Rs. $924$

Selling price of the shopkeeper is the cost price of the new buyer.

Then $C.P.$ $=$ Rs. $924$

$Loss$ $=5\%$

$S.P.$ $=\frac{100-\text{loss percentage}}{100}\times$ $C.P.$

$S.P$ $=\frac{100-5}{100}\times 924$

$\Rightarrow \frac{95}{100}\times 924=$ Rs. $877.80$

Hence, final $S.P.$=Rs. $877.80$