Question

A shopkeeper gives a discount of 10% on the marked price of a watch but he

gains 10%. If the marked price is Rs.330, what is the cost price?​

Answer 1

Answer:

Solution,

Here,

Discount percent (D%) = 10%

Profit percent(P%) = 10%

Marked price (M.P.) = Rs330

So, Discount amount = 10% of M.P. = 10% * 330 = Rs 33.

Selling price (S.P.) = M.P. - discount amount = 330-33 = Rs 297

Therefore, Cost  price of the watch (C.P.) = (S.P. × 100)/(100+profit%)

                                                                     = (297×100)÷(100+10) = Rs 270

So, the cost price of the watch is Rs 270.

Alternative method:

Let cost price (C.P.) be Rs x.

Then,

Selling price = C.P.+10% of C.P.

or, 297 = x + 0.1 × x

or, 297 = 1.1x

or, x = Rs 270

We have supposed C.P. as 'x'. Here, obtained value of x = Rs 270. So, C.P. i.e. cost price of the watch is Rs 270.

Step-by-step explanation:

Answer 2

The cost price of the watch = Rs. 270

Given :

• A shopkeeper gives a discount of 10% on the marked price of a watch but he gains 10%.

• The marked price is Rs. 330

To find :

The cost price of the watch

Solution :

Step 1 of 3 :

Calculate selling price of the watch

The marked price is Rs. 330

The shopkeeper gives a discount of 10% on the marked price of the watch

∴ The selling price of the watch

$\displaystyle \sf = Rs. \: 330 \times \frac{90}{100}$

$\displaystyle \sf = Rs. \: 297$

Step 2 of 3 :

Form the equation to calculate cost price of the watch

Let cost price of the watch = Rs. C

Since the shopkeeper gains 10%

So by the given condition

$\displaystyle \sf C \times \frac{110}{100} = 297$

Step 3 of 3 :

Calculate cost price of the watch

$\displaystyle \sf C \times \frac{110}{100} = 297$

$\displaystyle \sf{ \implies }C = 297 \times \frac{100}{110}$

$\displaystyle \sf{ \implies }C = 270$

Hence cost price of the watch = Rs. 270

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