Question

A shopkeeper purchased 100 sarees at ₹750 each.He sold 30 sarees at ₹600 each.At what rate should he sell the remaining sarees so as to gain 10% on the whole

Answer 1

$\textbf{Answer}$

$\textbf{Total sarees purchased = 100}$

Since each saree costed 750 Rs,

So total cost price of all sarees,
CP = 750 × 100
=> $\textbf{CP = 75000 Rs}$

Since shopkeeper needs to sell all sarees such that gain % should be 10%.

The the overall selling price to gain 10% on whole 100 sarees,
SP = CP + 10%CP
=> SP = 75000 + 7500
=> SP = 82500 Rs

Now shopkeeper already sold 30 sarees at rate of 600 Rs each.

=> Remaining number of sarees = 100-30 = 70

=> Selling price of all 30 sarees = 30×600 Rs
=> Selling price of 30 sarees = 18000 Rs

Since overall selling price of 100 sarees should be Rs 82500 so that gain % is 10.

=> Selling price of remaining 70 sarees = 82500 - 18000
=> Selling price of 70 sarees = 64500 Rs

=> Selling price of 1 saree = 64500/70
=> Selling price of 1 saree = 921.43 Rs

● So sarees should be sold at the rate of 921.42 Rs each to gain 10% overall.


$\textbf{Hope my answer helped}$
$\textbf{Thanks}$

Answer 2

Total sarees purchased = 100 

Since each saree costed 750 Rs,

So total cost price of all sarees,
CP = 750 × 100
=> \textbf{CP = 75000 Rs}CP = 75000 Rs 

Since shopkeeper needs to sell all sarees such that gain % should be 10%.

The the overall selling price to gain 10% on whole 100 sarees,
SP = CP + 10%CP
=> SP = 75000 + 7500
=> SP = 82500 Rs

Now shopkeeper already sold 30 sarees at rate of 600 Rs each.

=> Remaining number of sarees = 100-30 = 70

=> Selling price of all 30 sarees = 30×600 Rs
=> Selling price of 30 sarees = 18000 Rs

Since overall selling price of 100 sarees should be Rs 82500 so that gain % is 10.

=> Selling price of remaining 70 sarees = 82500 - 18000
=> Selling price of 70 sarees = 64500 Rs

=> Selling price of 1 saree = 64500/70
=> Selling price of 1 saree = 921.43 Rs

● So sarees should be sold at the rate of 921.42 Rs each to gain 10% overall.