Question

a man sold his watch at a loss of 5% . had he sold it for rs 56.25 more , he would have gained 10% .what is the cost price of the qatch(in rs)

Answer 1

110% - 95%= 56.25 ,so 15% = 56.25
100%=375. cost price of watch is 375.

Answer 2

The cost price of the watch (in rs) is Rs. 375.

Step-by-step explanation:

Required Formulas:

• $S.P. = C.P. * \frac{[100 +- P or L]}{100}$

Let the C.P. of the watch be Rs. "x".

Loss % = 5 %

So, the S.P. of the watch will be = $\frac{100 - 5}{100} * x$ = $\frac{95 x}{100}$ = 0.95 x

Now, it is given that if the man sells the watch for Rs. 56.25 more than the previous S.P. i.e., "0.95x" then he would have a profit of 10%, therefore we can write the eq. as,

0.95x + 56.25 =  $\frac{100+10}{100} * x$

⇒ 0.95x + 56.25 = $\frac{110x}{100}$

⇒ 0.95x + 56.25 = 1.1x

⇒ 1.1x - 0.95x = 56.25

⇒ 0.15x = 56.25

⇒ x = $\frac{56.25}{0.15}$

⇒ x = Rs. 375

Thus, the cost price of watch is Rs. 375.

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