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A dealer bought two tables for Rs. 3120. He sold one of them at loss of $15 %$ and other at a gain of $36 %$ . Then, he found that each table was sold for the same price. Find the cost price of each table.

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Rs.1920, Rs.1870

Rs.1920, Rs.1200

Rs.2320, Rs.1200

Rs.1620, Rs.1200

answer is A.

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Detailed Solution

Given that the selling price for both tables is the same.
Let the CP of the first table be Rs. x , then the CP of the other will be Rs.

3120 − x .

Loss on the first table = 15%
Therefore, selling price (SP) is,

SP = CP 100 − loss % 100 ⇒ 100 − 15 100 x ⇒ 0.85 x

Gain on the second table =36% .

SP = CP 100 + gain % 100 ⇒ 100 + 36 100 (3120 − x) ⇒ 1.36 (3120 − x)

Equating both the selling price,

1.36 3120 − x = 0.85 x ⇒ 2.21 x = 4243.20 ⇒ x = 1920

Therefore, the cost price of the first table is Rs.1920 and second table cost price is Rs.

3120 − 1920 =

Rs.1200

.

Therefore, option (1) is correct.

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