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A person sold a TV for Rs. 9400 then he lost a particular amount. When he sold another TV of the same type at Rs. 10600, his gain was double the former loss. What was the cost price of each TV?
Answer & Solution
Correct Answer:
Option
A
According to the question,
Given,
Loss = Cost price - 9400 = x ......(i)
Profit = 10600 - Cost price = 2x .......(ii)
Put the value of equation (i) in equation (ii)
∴ 10600 - Cost price = 2
(Cost price - 9400)
10600 - Cost price = 2 Cost Price - 18800
3 Cost price = 29400
$$\eqalign{ & {\text{Cost price}} = \frac{{29400}}{3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9800 \cr & {\text{Cost price}} = {\text{Rs}}{\text{. 9800}} \cr} $$
Given,
Loss = Cost price - 9400 = x ......(i)
Profit = 10600 - Cost price = 2x .......(ii)
Put the value of equation (i) in equation (ii)
∴ 10600 - Cost price = 2
(Cost price - 9400)
10600 - Cost price = 2 Cost Price - 18800
3 Cost price = 29400
$$\eqalign{ & {\text{Cost price}} = \frac{{29400}}{3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9800 \cr & {\text{Cost price}} = {\text{Rs}}{\text{. 9800}} \cr} $$
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