Question

kabir sold a watch a loss of 6 2/3 %. had he sold it for 220 more.He would have made a profit of 8%.Find the cost price of watch.​

Answer 1

The cost price of watch is 1500 Rs.

Step-by-step explanation:

As given in the question that kabir sold a watch a loss of $6\frac{2}{3}\%$.

If he sold it for 220 more. He would have made a profit of 8%.

We have to find the cost price of watch.

Let the selling price of watch is x.

We know that,

$S.P. = \frac{100\ -\ loss\%}{100}\times C.P.$

$x = \frac{100\ -\ \frac{20}{3} }{100}\times C.P.$

$x = \frac{\frac{300\ -\ 20}{3} }{100}\times C.P.$

$x = \frac{280}{3}\times\frac{1}{100} \times C.P.$

$x = \frac{14}{15}\times C.P.$

When he sold it for 220 more:

$S.P. = \frac{100\ +\ gain\%}{100}\times C.P.$

$x\ +\ 220 = \frac{100\ +\ 8}{100}\times C.P.$

$\frac{14}{15}\times C.P.\ +\ 220 = \frac{108}{100}\times C.P.$

$\frac{14}{15}\times C.P.\ +\ 220 = \frac{27}{25}\times C.P.$

$220 = \frac{27}{25}\times C.P.\ -\ \frac{14}{15}\times C.P.$

$220 = (\frac{27}{25}\ -\ \frac{14}{15})\times C.P.$

$220 = (\frac{81\ -\ 70}{75})\times C.P.$

$220 = (\frac{11}{75})\times C.P.$

$220\times\frac{75}{11} = C.P.$

20 x 75 = C.P.

∴ C.P. = 1500 Rs.

Hence, the cost price of watch will be 1500 Rs.