Question

1. A shopkeeper purchased 100 sarees at 3 750 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

Answer:

Step-by-step explanation:

Since each saree costed 750 Rs,

So total cost price of all sarees,

CP = 750 × 100

=>

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.