A man sold his watch at a loss of 5%. Had he sold it for ₹56.40 more, he would havegained 10%. What is the cost price (in ₹) of the watch?

Correct option is C

Given:

The watch was sold at a loss of 5%.

If the watch was sold for ₹56.40 more, the man would have gained 10%.

Formula Used: ​

Selling Price = $$\frac{\text{Profit /loss}}{\text{Cost Price}} \times 100$$​

Solution:​

Let the cost price of the watch be C

Selling price at a loss of 5%:

Selling Price (SP) = $$C \times \left(1 - \frac{5}{100}\right) = 0.95C$$​​

Selling price at a gain of 10%:

New Selling Price = $$C \times \left(1 + \frac{10}{100}\right) = 1.10C$$​​

The difference between the two selling prices is ₹56.40:

1.10C - 0.95C = 56.40

0.15C = 56.40

C = $$\frac{56.40}{0.15}$$​ = 376

Thus, the cost price of the watch is ₹376 

Alternate Solution: ​

if for same cost price selling on first loss and then increase in SP gives profit so: 

By question;

5%(loss) + 10%(Profit) = 15% 

now, 15% equals 56.40 

so 100% equals $$\frac{56.4}{15}\times 100 = 376$$​​