Question

if by selling a table for table for ₹ 540 a carpenter losses 4%, for what amount should he sell it, so as to gain 12%? ​

Answer 1

Given :- By selling a table at Rs. 540 a carpenter loses 4%

Find :- We have to find the amount at which he has to sell the table so as to gain 12%.

Let the Cost price of the table be x .

Loss % = $\frac{Loss}{CP}$× 100

Loss % = $\frac{CP-SP}{CP}$× 100

4 = $\frac{X - 540}{X}$× 100

$\frac{4}{100}$ = $\frac{X - 540}{X}$× 100

X = 25(X-540)

X = 25X-13500

25X - X = 13500

24X = 13500

X = $\frac{13500}{24}$

X = Rs. 562.50

The Original price of the table = Rs. 562.50.

To Gain 12% , Let the Gain be Y.

So that,

12 = $\frac{Y}{562.5}$× 100

Y = $\frac{12 × 562.5}{100}$

Y = $\frac{6750}{100}$

So, Y = 67.50

So, At last The Selling price of the table :-

Rs. 562.50 + 67.50 = Rs. 630.

If the Carpenter wants the gain of 12 % then he must sold the table of Rs. 630.