Question

16) A V.C.R 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:-
a) 42.25
b) 51.84
19) Find the cube root of the following by prime factorisation.
(a)10648
(b)15625
e​

Answer 1

Given,

The cost price of the VCR = Rs. 8000

The cost price of TV = Rs. 8000

Now, He made a loss of 4% on VCR.

\therefore Selling price (SP) of the VCR = (100-4)% of CP = 96% x Rs. 8000 = Rs. 7680

Again, He made a profit of 8% on TV.

\therefore Selling price (SP) of the TV = (100+8)% of CP = 108% x Rs. 8000 = Rs. 8640

Net Selling price = Rs. (7680 + 8640) = Rs. 16320

Net Cost price = Rs. (2x8000) = Rs. 16000

Since, SP > CP, he made a net profit (gain)

Now, Net Gain = CP - SP = Rs. (16320-16000) = Rs. 320

\therefore Gain % = \frac{Profit}{CP}\times100\% = \frac{320}{16000}\times100\% = 2%

\therefore The shopkeeper made a gain of 2% on the whole transaction.