60% goods are sold at 5% loss and rest are sold at 10% profit.There is a total profit of rs 100 the the worth of goods sold is a)6000,b)5000,c)10000,d)none of this
Answers
Answer:
(c) 10,000
Step-by-step explanation:
Let the total worth of goods sold (Total CP) in Rupees = x
60% of goods are sold at 5% loss
=> 0.6x of goods are sold at 5% loss
=> SP of 0.6x of goods = 0.95*0.6x
[5% loss means selling price = 95% (or 0.95) of the cost price]
40% of goods are sold at 10% profit
=> SP of 0.4x = 1.1*0.4x
[10% profit means selling price = 110% (or 1.1) of the cost price]
Total SP = 0.95*0.6x + 1.1*0.4x
= 0.57x + 0.44x
= 1.01x
Total profit = 100
=> Total SP - Total CP = 100
=> 1.01x - x = 100
=> 0.01x = 100
=> x = 10,000
Cost price of goods sold = Rs.10,000
Verification
Total worth of goods (total CP) = 10,000
60% of Rs.10,000 = 6,000
This sale results in loss of 5% => Selling price = 6000*0.95 = 5700
40% of Rs.10,000 = 4000
This sale results in profit of 10% => Selling price = 4000*1.1 = 4400
Total selling price = 5700 + 4400 = 10100
Total profit = Total SP - Total CP = 10100 - 10000 = 100 (verified)
Answer:
c) ₹10,000
Step-by-step explanation:
Let the total no. of goods be x.
So, 60% at 5% loss=(3/5)*(-1/20)*x
=0.03*x
And, 40% at 10% gain=(2/5)*(1/10)*x
=0.04*x
Over-all gain = 0.04x-0.03x=0.01x
We know gain is ₹100.
So, 0.01*x=100
x=₹10,000