Question

mohan sold his television at a loss of 15% if he had sold it for 50000 more he would have made a profit of 5% find the CP of the television​

Answer 1

Solution -

Mohan sold his television at a loss of 15% .

If he had sold it for 50000 more he would have made a profit of 5% .

We have to find the CP of the television.

Let us assume that the CP of the television is x inr.

He had sold it for a loss of 15%.

So, the actual selling price of the television

>> 85% x

If he makes a profit of 5%, the selling price would be

>> 105% of x

So,

85% of x + 50,000 = 105% of x

>> (105% of x - 85% of x) = 50,000

>> (105x - 85x) = 5, 000, 000

>> 20x = 5, 000, 000

>> 2x = 500 000

>> x = 2,50,000 ( 2 Lakhs and fifty thousand inr)

This is the required cost price of the television.

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Answer 2

Given :-

mohan sold his television at a loss of 15% if he had sold it for 50000 more he would have made a profit of 5%

To Find :-

CP

Solution :-

Let,

CP of television = x

We know that

SP = (100 - L%)/100 × CP

SP = (100 - 15)/100 × x

SP = 85/100 × x

SP = 17x/20

New SP = 17x/20 + 50000

Now,

SP = (100 + P%)/100 × CP

SP = (100 + 5)/100 × x

SP = 105/100 × x

SP = 21x/20

Now,

A/q

21x/20 - 17x/20 = 50000

21x - 17x/20 = 50000

4x/20 = 50,000

x = 50000 × 20/4

x = 250000