Question

The difference between the selling prices of a table when sold at profits of 6% and 8% is 106. Find the cost price of the table.​

Answer 1

Answer:

The cost price of the table is 5300

Step-by-step explanation:

Let the cost price for the table be x. Then when the shopkeeper sold it at 6% rate of interest the cost becomes
$(1+\frac{6}{100})*x$
$\frac{106}{100}x$

Now when he sold it at 8% rate of interest then the cost of the table becomes
$(1+\frac{8}{100}) *x\\\\\frac{108}{100}x$

Now according to the question
$\frac{108}{100}x - \frac{106}{100}x =106\\x=5300$

Hence the cost price of the table is 5300
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Answer 2

Answer:

Rs 5300 is the cost price of the table .

Step-by-step explanation:

Explanation:

Given, the difference between selling prices of a table of a table when sold at profits of 6% and 8% = 106 .

Let the cost price be  Rs x .

And we know, S.P  = $\frac{100 + gain}{100} (C.P)$

Step 1:

Therefore, when profit is 6 %, then S.P = $\frac{ 100 + \frac{6}{100}(100) }{100}(x)$

⇒ S.P = $\frac{106x}{100}$

And, when profit is 8%, then S.P = $\frac{ 100 + \frac{8}{100}(100) }{100}(x)$ = $\frac{108x}{100}$

Now, according  to the question difference between the selling price = 106

⇒$\frac{108x}{100} - \frac{106x}{100}$ = 106

⇒108x - 106x = 10600

⇒ 2x= 10600 ⇒ x = $\frac{10600}{2}$ = 5300.

Final answer:

Hence, the cost price of the table is Rs 5300.

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