Question

By selling a table for Rs 2070, a carpenter loses8℅. how much percent would he gain or loss by selling it for Rs 2400

Answer 1

let cost price of table = Rs x

loss = 8% of Cost price = 8x/100

Cost price of table = sale's price + loss

x = 2070 +  (8x/100)

⇒ 100x = 207000+ 8x

⇒  92 x = 207000

⇒   x = 207000/92 =  Rs 2250

So Cost price of table = Rs 2250

% gain when sales price = Rs 2400

% gain = (( Sales Price - Cost Price) × 100)/ Cost price

= (2400 - 2250) × 100 / 2250

= 15000/2250 = 6.667%

hence gain% = 6.667% when Sales price is rs 2400

Answer 2

Solutions :-

We have,

S. P. = Rs 2070

Loss% = 8%

Find the Cost Price (C. P.) :-

Let the C. P. be x

Now,

C.P. = S. P. + Loss

A/q

=> x = 2070 + 8% of x

=> x = 2070 + 8/100 × x

=> x = 2070 + 0. 08x

=> x - 0.08x = 2070

=> 0.92x = 2070

=> x = 2070/0.92 = 2250

So,

C.P. = x = 2250

If the selling price (S. P.) of table is Rs 2400

S. P. > C. P.

Therefore, Profit

Profit = S.P. - C. P.

= Rs ( 2400 - 2250) = Rs 150

Now,

Profit% =  Profit/C.P.  × 100%   

=  150/2250  × 100% = 6.66%

Hence,

He gain 6.66% by selling it for Rs 2400.