e-
4. A shopkeeper sells two quality of coffee of at
rate Rs. 48 pen.kg and Rs 49.5 per.gaining 20%and 10%. profit respectively
If
he mixes the two
the ratio 1:4 and
Sells the mixture
at I 57.2 per.kg.
what is the
ganior loss?
Answers
Answer:
loss of 20%
Step-by-step explanation:
The shopkeeper sells two kinds qualities of wheat at 11 per kg and 24 per kg.
➡️ On the $11, he gains 10% profit.
Let the cost price be x.
So, x + 10/100 * x = 11
Or, x + x/10 = 11
Or, 11x/10 = 11
Or, x = 10.
So, cost price of the first quality of wheat is $10. ⬅️
➡️ On the $24, he gains 20% profit.
Let the cost price be y.
So, y + 20/100 * y =24
Or, y + y/5 = 24
Or, 6y/5 = 24
Or, y = 24 * 5/6 = 20.
So, the Cost price of second quality of the wheat is $20. ⬅️
He mixes them is the ratio 2 : 3.
Now, sum of ratios is = 5.
Thus, 2/5 part is the wheat of first quality and 3/5 part is the wheat of second quality.
Thus, Cost price of the mixture
= $ (2/5 * 10 + 3/5 * 20)
= $ (4 + 12)
= $ 16.
➡️ Again, the shopkeeper sells it at $12.8 per kg.
So, it is obvious that Cost price > Selling price, so there is a loss.
Loss = $ (16 - 12.8)
= $ 3.2
Now, Loss percentage
= 3.2/16 * 100 %
= 1/5 * 100 %
= 20 %
➡️ Hence, there is a loss of 20%