Question

16) AV.CR and T.V were brought for Rs.8000 each. The shopkeeper made a loss of 4% on the
VCR and a profit of 8% on the T.V. Find the gain or loss percent on the whole transaction.
17) Find the square root of the given number by prime factorisation method.
a) 4096
b) 676
18) Find the Square root of the decimal numbers:-
al 42.25
b) 51.84
19)Find the cube root of the following by prime factorisation.
(a)10648
(b)15625
1 Ay2-8
CATION​

Answer 1

Answer:The price at which a buyer purchases an article is called the cost price (CP)

of the article for the buyer.

 

The price at which a seller sells an article is called the selling price (SP) of the article for the seller

 

When the selling price is more than the cost price of an article then there is a profit or gain.

 

S.P>C.P

Profit= S.P – C.P

 

Profit%= (profit/C.P)×100

Profit and loss are calculated on a certain percent of the C.P.

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Solution:

Given:

Cost price(CP) of each article=₹8000

Profit of 8% on TV

Loss of 4% on VCR

 

C.P of TV= ₹8000

Profit on  TV = Cost price × profit %

Profit on TV = 8%of 8000

=8000 ×(8/100)

=80×8

= ₹640

 

C.P of VCR= ₹8000

Loss on VCR = Cost price × Loss %

Loss on VCR= 4% of 8000

=8000 ×(4/100)

=80× 4

= ₹320

Since profit  is more than loss,

Hence, the shopkeeper gains net profit

Net Profit= 640 -320= 320

Now

Total cost Price of both article= 8000+ 8000 =₹16000

 

Profit%= (profit/C.P)×100

Profit %= (320/16000) ×100

Profit % = 32/16

Profit %=2%

Hence, the gain in the whole transaction = 2%.

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Hope this will help you...