A builder sells 70 bags of Badarpur sand at 15% sales commission. He purchases 17 bags of
cement from the amount remained after deducting his commission so that a purchase
commission comes out to be of 5%. He receives * 400 in all. What was the sale price of
Badarpur sand per bag and the purchase price of cement per bag?
Answers
Answer:
second as my notification you are my nursing notification just we are one comment you are govern and communication important two not sure
Answer:
Sale price of Badarpur sand per bag = Rs. 29.68
purchase price of cement per bag = Rs.103.89
Step-by-step explanation:
Given :
A builder sells 70 bags of Badarpur sand at 15% sales commission.
then he purchases 17 bags of cement from the amount remained after deducting his commission. And its purchase commission is 5%.
totally he received Rs.400.
To find:
price of Badarpur sand per bag and purchase price of cement per bag.
solution:
Let total amount of sale price of Badarpur sand be x and total amount of purchase price of cement be y.
sales commission = 15% of sale price = 15% of x
purchase commission = 5% of purchase price = 5% of y
as given , x - 15%of x =y
x- 15 × x =y
100
100x-15x = 100y ⇒ 85x -100y = 0 ------eq.(1)
Also he receives 400 as commissions,
15%x+5%y =400
15 × x + 5 × y =400
100 100
15x + 5y = 400×100= 40000
15x +5y = 40000 -----eq.(2)
solving eq.(1) and eq.(2) we get.
85x-100y = 0
300x+100y = 800000 (multiply eq.(2) by 20)
385x =800000
x = 800000/385 = Rs.2077.9
put x value in eq.(1) ⇒ 85× 2077.9 -100y = 0
⇒176621.5 = 100y
y = 176621.5/100= Rs. 1766.2
sales commission =15%x = 15 ×2077.9 = 31168.5/100 = Rs. 311.69
100
purchase commission = 5% y = 5 ×1766.2 =Rs. 88.31
100
Therefore,
sale price of Badarpur sand per bag = 2077.9/70 = Rs.29.68
purchase price of cement per bag = 1766.2/17 = Rs.103.89
#SPJ2