By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%?
Posted on 25-03-2023
Ques - By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%?
(a) 8
(b) 10
(c) 15
(d) 16
Solution -
Let,
CP of 1 apple = x
SP of 12 apples = 100 paise
SP of 1 apple = 100/12
A man loses 20%.
SP = x (80/100)
SP = 0.8x
But,
SP = 100/12
0.8x = 100/12
x = (100/12) / 0.8
x = 100/9.6 Paise
So,
CP of 1 apple = 100/9.6
He should sell to gain 20%.
New SP of 1 apple = CP × profit
= (100/9.6) × (120/100)
= (100/9.6) × 1.20
New SP of 1 apple = 100/8 paise
New SP of 8 apples = 100 paise (Rs. 1)
Hence,
The correct answer is option (a) 8.
Thank You