The cost price of goods is 20% below the marked price. He sold half he stock at the marked price. One quarter at a discount of 10% on the marked price and rest at a discount of 30% on the marked price. His total gain is :

Options

A. `7.5%
B. 0.09
C. 0.105
D. 0.125

Answer

D

Explanation

Suppose MP = 100
Then CP `= 100 xx 80//100 = 80`
According to quesiton
Half the goods at MP `= 100//2 = 50`
One quarter `= 100//4 = 25` at 10% discount
`= 25 xx 90//100 = 22.5`
And rest `= 100-20-25 =25` at 30% discount
`= 28 xx 70//100= 17.5`
Gain % `= (90-80) xx 100//80 = 12.5%`
Alternate Soltution:
Let the total products were 12, and MP = 100 ₹ (Let) `therefore` C. P = 89 ₹`
Then profit earned =

`therefore ` Profit `= 20 xx 6`
`therefore` Profit % `= (20 xx 6)/(80xx12) xx 100 = 12.5%`