a) Anita bought a bag for Rs 4,000 and sold it to Shova at a 20% profit. Again, Shova sold it to Laxmi at a 10% profit.

(i) Find the S.P. of Anita (or C.P. of Shova).
(ii) Find the S.P. of Shova (or C.P. of Laxmi).



Answer :

Sure, let's break down the question into its parts and solve it step-by-step.

### Part (i): Finding the Selling Price (S.P.) of Anita
Anita bought a bag for Rs. 4,000 and sold it to Shova at a 20% profit.

1. Cost Price (C.P.) of Anita: Rs. 4,000
2. Profit Percentage for Anita: 20%

First, let's calculate the amount of profit Anita made:
[tex]\[ \text{Profit} = \text{C.P.} \times \frac{\text{Profit Percentage}}{100} \][/tex]
[tex]\[ \text{Profit} = 4000 \times \frac{20}{100} \][/tex]
[tex]\[ \text{Profit} = 4000 \times 0.20 \][/tex]
[tex]\[ \text{Profit} = 800 \][/tex]

Now, add this profit to the cost price to find the selling price:
[tex]\[ \text{Selling Price (S.P.) of Anita} = \text{C.P.} + \text{Profit} \][/tex]
[tex]\[ \text{Selling Price (S.P.) of Anita} = 4000 + 800 \][/tex]
[tex]\[ \text{Selling Price (S.P.) of Anita} = 4800 \][/tex]

### Part (ii): Finding the Selling Price (S.P.) of Shova
Shova bought the bag from Anita at Rs. 4,800 and sold it to Laxmi at a 10% profit.

1. Cost Price (C.P.) of Shova/Selling Price of Anita: Rs. 4,800
2. Profit Percentage for Shova: 10%

First, let's calculate the amount of profit Shova made:
[tex]\[ \text{Profit} = \text{C.P.} \times \frac{\text{Profit Percentage}}{100} \][/tex]
[tex]\[ \text{Profit} = 4800 \times \frac{10}{100} \][/tex]
[tex]\[ \text{Profit} = 4800 \times 0.10 \][/tex]
[tex]\[ \text{Profit} = 480 \][/tex]

Now, add this profit to the cost price to find the selling price:
[tex]\[ \text{Selling Price (S.P.) of Shova} = \text{C.P.} + \text{Profit} \][/tex]
[tex]\[ \text{Selling Price (S.P.) of Shova} = 4800 + 480 \][/tex]
[tex]\[ \text{Selling Price (S.P.) of Shova} = 5280 \][/tex]

### Summary
(i) The Selling Price (S.P.) of Anita (or Cost Price (C.P.) of Shova) is Rs. 4,800.

(ii) The Selling Price (S.P.) of Shova (or Cost Price (C.P.) of Laxmi) is Rs. 5,280.