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Ramesh bought two boxes for Rs.1300. He sold one box at a profit of $20 %$ and the other box at a loss of $12 %$ . If the selling price of both boxes is the same, find the cost price of each box.

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Rs.627

Rs.826

Rs.173

Rs.750

answer is D.

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Detailed Solution

Given,
Profit on the first box

= 20 %

, loss on the first box

= 12 %

loss % = loss × 100 C P

Let the cost price of the first box be Rs. x.
Therefore, the cost of the second box will be Rs.

1300 − x .

Profit on the first box

= 20 %

, loss on the first box

= 12 %

.
SP of the first box =

CP profit % + 100 100

⇒ SP = x 20 + 100 100 ⇒ SP = x 120100 ⇒ 6 x 5

SP of the second box=

CP 100 − loss % 100

SP = 1300 − x 100 − 12 100 ⇒ 28600 − 22 x 25

Equate both the selling price,

6 x 5 = 28600 − 22 x 25 ⇒ 150 x = 143000 − 110 x ⇒ 260 x = 143000 ⇒ x = 550

Now, calculating cost of second box,

1300 − 550 = 750

Hence, the cost price of the first box is Rs.500 and the cost price of the second box is Rs.750.
Therefore, option (4) is correct.

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