Question

Amit purchase some ladoo's at the rate of 1 for Rs. 2.5 same number of ladoo's at the rate of 3 for Rs. 6.5. He sold all the ladoo's at the rate of 4 for Rs. 7. Find his profit or loss percentage?
1. 30%
2. 15%
3. 25%
4. 20%

Answer 1

Correct Answer - Option 3 : 25%

Given:

Price of 1 ladoo = Rs. 2.5

Price of 3 ladoo = Rs. 6.5

Selling price of 4 ladoo = Rs. 7

Concept:

Since, the number of ladoos are unknown, just equal the number of ladoos bought by taking LCM and then calculate the selling price of the ladoos, and then calculate the profit or loss percentage.

Formula used:

Loss% =  [(CP - SP)/CP] × 100

Calculation:

Price of 1 ladoo = Rs. 2.5      ------(1)

Price of 3 ladoo = Rs. 6.5      ------(2)

Taking LCM of (1,3) = 3

Multiply (1) with 3 and add to (2)

⇒ Price of 3 ladoo = 2.5 × 3 = Rs. 7.5

∴ Total CP of all the 6 ladoo bought = Rs. 7.5 + Rs. 6.5 = Rs. 14      ------(3)

∵ Selling price of 4 ladoo = Rs. 7      ------(4)

Equal the number of ladoo bought and sold by taking LCM of (6 and 4) = 12

Multiply (3) with 2 and multiply (4) with 3;

2 × (CP of 6 ladoo = Rs. 14)

= CP of 12 ladoo = Rs. 28

3 × (SP of 4 ladoo = Rs. 7)

= SP of 12 ladoo = Rs. 21

∴ CP > SP; there is a loss.

∴ Loss % = [(CP - SP)/CP] × 100

= [(28 - 21)/28] × 100

= (7/28) × 100

= 25%