Question

Solve the given questions: 1. On selling a television for Rs: 21504, a dealer gains 12%. Find the cost price of the television. 2. On selling a painting for Rs: 12600, a shopkeeper makes a profit of 5%. What is the cost price of the painting?​

Answer 1

Answer:

1. The cost price of the television is Rs. 19,200.

2. the cost price of the painting is Rs.12,000.

Step-by-step explanation:

1. Given

Selling price(S.P) of a television=Rs.21504

Profit percent(%)=12%

To find the cost price(C.P) of the television

Solution:

We have

$S.P =\frac{C.P(100+Profit percent)}{100}$

21504=C.P(100+12)/100

On cross-multiplication

21504x100=C.Px112

or, C.P=2150400/112

C.P = Rs.19,200

2. Given

Selling Price(S.P)=Rs.12,600

Profit percent(%)=5%

To find the cost Price(C.P) of a painting

Solution:

We have

$S.P =\frac{C.P(100+Profit percent)}{100}$

or, 12600=C.P(100+5)/100

On cross multiplication

or, 1260000=C.Px105

or, C.P=1260000/105

C.P = Rs.12,000

Hence, the cost price of a television and a painting are Rs. 19,200 and Rs. 12,000.

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Answer 2

Answer:

Cost price of the television = Rs 19,200

Cost price of the painting  = Rs 12,000

Step-by-step explanation:

Ans 1.

Given: -

Selling price of the television set = Rs 21504

Profit = 12%

To be calculated: -

Cost price of the television

Solution: -

Let cost price of the television = x

As profit = 12%

We can write that profit = 12% of x

                                       =(  12/ 100 ) x

Also we know that, selling price = cost price + profit

Rs 21504 = x + ( 12 / 100 ) x

21504 = ( 100x + 12x)/ 100

21504 X 100 = 112x

2150400 = 112x

x =19,200

or cost price of the television = Rs 19,200

Ans 2.

Given: -

Selling price of the painting = Rs 12600

Profit = 5%

To be calculated: -

Cost price of the painting

Solution: -

Let cost price of the painting = x

As profit = 5%

We can write that profit = 5% of x

                                       =( 5/ 100 ) x

Also, we know that selling price = cost price + profit

Rs 12600 = x + ( 5 / 100 ) x

12600 =( 100x + 5x)/ 100

12600 X 100 = 105x

1260000 = 105x

x =12000

or cost price of the painting  = Rs 12,000

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