Question

Answer is 3.66% given in the book...
please give me full explanation ​

Answer 1

Step-by-step explanation:

Given :-

Mr. Mehra sold a colour TV for Rs. 18000 and a washing machine for Rs. 12000 .On TV he lost 5% and on washing machine he gained 20%.

To find :-

Find his total gain or loss percent ?

Solution :-

Given that

Selling Price of a colur TV = Rs. 18000

Loss percentage on the TV = 5%

We know that

Cost Price = (100×Selling Price)/(100-l)

=> Cost Price = (100×18000)/(100-5)

=> Cost Price = 1800000/95

=> Cost Price = 18947.37

Cost Price of the TV = Rs. 18947.37

On taking the Cost Price of the TV = Rs. 18947

and

Selling Price of a washing machine = Rs. 12000

Gain percentage on the washing machine= 20%

We know that

Cost Price = (100×Selling Price)/(100+g)

=> Cost Price = (100×12000)/(100+20)

=> Cost Price = 1200000/120

=> Cost Price = 10000

Cost Price of the washing machine = Rs.10000

Now,

Sum of the Cost Prices of the TV and the washing machine = 18947+10000 = Rs. 28947

Sum of the Selling Prices of the TV and the washing machine = 18000+12000 = Rs. 30000

We have,

Selling Price > Cost Price

Gain = Selling Price-Cost Price

=> Gain = 30000-28947 = Rs. 1053

We know that

Gain % = (Gain/Cost Price)×100

=> G% = (1053/28947)×100

=> G% = 105300/28947

=> G% = 3.6363...

=>G% = 3.6% (Correct it to ones place )

Answer:-

The gain percentage of Mr. Mehra is 3.6%

Used formulae:-

→Cost Price = (100×Selling Price)/(100+g)

→ Cost Price = (100×Selling Price)/(100-l)

→ Gain = Selling Price-Cost Price

→ Gain % = (Gain/Cost Price)×100