Question

If a shopkeeper sells a table at a profit of 10% and a chair at a loss of 15% ,he neither gain nor loss on the whole.if he sells the table at 15%profit and a chair at a loss of 10%,he would have gaind 150 on the whole. find cp of the table?

Answer 1

Your answer is in the attachment dear. Pls mark it as brainliest!

Answer 2

Answer:

Cost price(cp) of the table is 1800 rupees.

Explanation:

In this question

We have been given that,

Profit at the table is 10% and loss at the chair is 15%.

Let cost of table = x and cost of chair = y

10%(x) - 15%(y) = 0

$\frac{10x}{100} - \frac{15y}{100}$ = 0

10x - 15y = 0

x = $\frac{15y}{10}$

x = $\frac{3y}{2}$

Now, 15%(x) - 10%(y) = 150

$\frac{15x}{100} - \frac{10y}{100}$ = 150

15x - 10y = 15000

15$\frac{3y}{2}$ - 10y = 15000

45y - 20y = 30000

25y = 30000

y = $\frac{30000}{25}$

y = 1200

Then x = $\frac{3\times 1200}{2}$

x = 1800

Hence, Cost price(cp) of the table is 1800 rupees.