Verified answer

Answer: Rs.465

Step-by-step explanation:

This Question can be solved in two parts.

PART 1: Finding total cost price

Given

Selling Price (SP-1) of Pen = Rs. 168

Selling Price (SP-2) of Watch = Rs. 492

Total selling price (SP) = Rs.660

Gain percentage = 10%

FORMULA:

[tex]gain\% = \frac{profit}{cost \: price} \times 100 \\ \\ gain = selling \: price \: - cost \: price[/tex]

SOLUTION

Using above two equations, we will find the total cost price of the articles.

Gain% = Profit / CP × 100

=> 10 = (SP - CP)/CP × 100

=> 10 = (660 - CP)/CP × 100

=> 10 = (66000 - 100CP)/CP

=> 10CP = 66000 - 100CP

=> 110CP = 66000

=> CP = 600

Hence the cost price of watch + pen = Rs.600

PART 2: FINDING INDIVIDUAL CP

According to the 2nd case we are given:

Given

Watch SP = Rs.435

Pen SP = Pen CP = Let it be y.

Total Selling price = Rs.(435 + y)

Loss Percentage = 5%

Total CP = Rs.600 (as calculated)

FORMULA:

Loss % = Loss/CP × 100

Loss = Cost Price - Selling Price

SOLUTION

Loss% = Loss/CP × 100

=> 5 = (CP - SP)/CP × 100

=> 5 = [600-(435+y)]/600 × 100

=> 5 = (165 - y)/6

=> 30 = 165 - y

=> y = 165 - 30

=> y = 135

Now, we got the selling price which is equals to the cost price of the pen = Rs.135.

Total cost price = Rs.600

Hence cost price of watch is 600 - 135 = 465

Hence, the cost price of watch is Rs.465

Answer:

₹465

Step-by-step explanation:

Let the CP of 1 watch be x and that of 1 pen be y.

So, According to question,

(492-x)+(168-y)/(x+y) * 100 = 10

x+y = 4920-10x+1680-10y

11x+11y = 6600

x+y = 600.....(1)

Also,

(x-435) /(x+y) *100 = 5

x+y = 20x-8700

Putting x+y=600 from eq(1) , we get

20x-8700 = 600

20x = 9300

x = 465

So, the cost price of 1 watch is ₹ 465.