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%. Find selling price of the item is = ?
A. Rs. 877.80
B. Rs. 798
C. Rs. 924
D. Rs. 37.80
Answer: Option A
Solution (By Examveda Team)
According to the question,Cost price = Rs. 840
10% Profit on cost price
$$\eqalign{ & = \frac{{10}}{{100}} \times 840 \cr & = {\text{Rs}}{\text{. }}84 \cr & \therefore {\text{Selling price}} \cr & = 840 + 84 \cr & = {\text{Rs}}{\text{. 924}} \cr} $$
New buyer cost price
$$ = {\text{Rs}}{\text{. 924}}$$
5% loss on Cost price
$$\eqalign{ & = \frac{5}{{100}} \times 924 \cr & = {\text{Rs}}{\text{. }}46.2 \cr & {\text{Selling price}} \cr & = {\text{Rs}}{\text{. 924}} - 46.2 \cr & = {\text{Rs}}{\text{. }}877.80 \cr} $$
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