a dealer bought 100 tables for rupees 40. he sells 20 of them at a gain of 5% at what gain percent must he sell the remainder so as to gain 20% on the whole
Answers
Answer:
Friends…!
The dealer bought 80 cricket bats for ₹50 each.
Total cost of 80 cricket bats is
₹80 × 50= ₹4000
Sells 20 bats at a gain of 5% that is
50 + 5% of 50
50 + 5/100 × 50
50 + 5/2
50 + 2.5
= ₹52.50
What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole?
10% gain or profit on the whole means
4000 + 10% of 4000
4000 + 10/100 × 4000
4000 + 400
= 4000 + 400
=₹ 4400
He should sold all the bats at ₹ 4400
But he has already sold 20 bats at ₹52.50 each
Total cost of 20 bats already sold
20 × ₹52.50
= ₹ 1050
Therefore he needs to sell the remaining 60 bats in
₹4400 - ₹1050
=₹ 3350
Each bat to be sold = 3350/60= ₹55.83 each
Profit = sale price - cost price
=₹ 55.83 - ₹50
= ₹ 5.83
Percentage profit = (Profit × 100)/ cost price
= 5.83 × 100 / 50
= 583/50
= 11.66%
Answer the gain percentage of the remaining bats should be 11.66% to get 10 percent gain 9n the whole.