A man buys some glasses for rs1400. five glasses were broken. he sell a glass for rs10 and makes a profit of rs 175. find cp of one glass
Answers
X × cost of each glass=1400
five were broken,so
No. of glasses=X-5
S.p=rs 10 per glass
S.p=1400+175(profit)=1575(total)
Now we get,
10(X-5)=1575
X-5=15.75
X=15.75-5=10.75
Therefore cost of each glass is 10.75
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Cost price of one glass is rs. 8.81
Step-by-step explanation:
Given:
A man buys some glasses for rs.1400
five glasses were broken.
A glass for rs. 10 is sold and profit of rs 175 is made.
To Find: Cost price of one glass.
Formula Used:
Selling Price= Cost Price +Profit ----------------------- Formula no.01
Solution:
Let the Cost Price of one glass = Z
Let nos. of glasses bought = Y
As given -A man buys some glasses for rs. 1400
X.Y= 1400 ---------------- equation no. 01.
Selling price of a glass = rs.10
Availability of glass after 5 broken glasses = Y-5
Selling price of available glasses =10 (Y-5)
Applying formula no. 01.
Selling Price= Cost Price +Profit
Selling Price = 1400+ 175
= 1575
10(Y-5) =1575
Y-5 = 157.50
Y = 162.50
Putting the value of Y in equation no. 01
X.Y=1400
X = 1400/Y
= 1400/162.50
X = 8.81 .
Thus, Cost price of one glass is rs. 8.81