Question

Mr. sharma sells sofa sets. By selling 20 sofa sets, he loses an amount equal to the selling price of 5 sofa sets. Find his loss percent.

Because in my book the answer is given: 20%

Please help me to find the answer.

Answer the question step-by-step.

And please don't cheat the answer explain the answer in your own way.

If you will copy the answer I am going to block you.​

Answer 1

Step-by-step explanation:

In the first condition :

S.P of a sofa-set = Rs. 2500

Loss = 20%

∴ C.P. = 100/ (100 – Loss %) × S.P.

= 100/(100 – 20) × Rs. 2500 = Rs. 100/80 ×2500

= Rs. (100 × 2500)/80 = (5 × 2500)/4 = 5 × 625

= Rs. 3125

In the second condition :

S.P. of the sofa–set = Rs. 3150

C.P. of the sofa–set = Rs. 3125

Gain = S.P. – C.P.

= Rs. 3150 – Rs. 3125 = Rs. 25

Gain % = Gain/C.P. × 100

= 25/3125 × 100 = (25 × 100)/3125 = 100/125

= 4/5 % = 0.8%