Question

a table was sold at a gain of 10 percent and it been sold for Rs 30 more the gain would have been 15 percent. Find CP of table​

Answer 1

CP of table = Rs. 600

Step-by-step explanation:

Let X be the cost price and Y the selling price.

For the first sale, profit is 10%

Y - X / X * 100 = 10

 Y - X = 0.1X

Y = 1.1 X ---------------(1)

For the second sale, profit is 15%

Y+30 - X / X * 100 = 15

 Y+30 - X = 0.15X

Y = 1.15 X - 30 ---------------(2)

Equating both, we get:

1.1  X = 1.15 X - 30

30 = (1.15 - 1.10) X

30 = 0.05 X

Therefore X = 30 / 0.05 = 600

Cost price = Rs. 600

Answer 2

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CP of table = Rs. 600

Step-by-step explanation:

Let X be the cost price and Y the selling price.

For the first sale, profit is 10%

Y - X / X * 100 = 10

Y - X = 0.1X

Y = 1.1 X ---------------(1)

For the second sale, profit is 15%

Y+30 - X / X * 100 = 15

Y+30 - X = 0.15X

Y = 1.15 X - 30 ---------------(2)

Equating both, we get:

1.1 X = 1.15 X - 30

30 = (1.15 - 1.10) X

30 = 0.05 X

Therefore X = 30 / 0.05 = 600

Cost price = Rs. 600