Question

Mahesh sells two tables for Rs 3000 each. He gains 20% on one table and on the other he loses 20%. Find his gain or loss percent on whole transaction.​

Answer 1

Answer :

4%

Explanation :

Mahesh sold two tables for ₹3,000 each

Where, one of them is sold in 20% profit and another one in 20% loss.

∴ Total S. P. = 2(3,000) = ₹6,000

We know that,

C. P. = 100/100 + profit × S.P

∴ C. P. of the fist table is :

→ 100/(100 + 20) × 3,000

→ 30,000/12

And also,

C. P. of the another table is :

→ 100/(100 - loss) × S.P.

→ 100/(100 - 20) × 3,000

→ 100/80 × 3,000

→ 30,000/80

∴ Total C. P. :

→ 30,000/120 + 30,000/80

→ 15,00,000/240

→ 6250

Since,

C. P. > S. P.

∴ It's a loss

∴ Loss = C. P. - S. P.

= 6,250 - 6,000

= 250

∴ Loss% = Loss*100/C.P.

= 250*100/6,000

= 25/6

= 4.16

∴ The loss in whole transaction is 4% (approx.)