Abdul, Sejal, and Soham each gave Sayali 30 rupees, 70 rupees, and 50 rupees respectively. Sayali put in 150 rupees and bought paper, colours, etc. Together they made greeting cards and sold them all. If they made a total profit of 420 rupees, what was each one’s share in the profit?

#### Solution

The capital invested by all four was 300 rupees. Of this Sayali had invested 150 rupees, that is, half of the capital. The total profit was 420 rupees. So, Sayali’s profit was half of that, i.e., 210 rupees. The remaining 210 was shared by Abdul, Sejal, and Soham.

Abdul, Sejal, and Soham’s investment is 30, 70, and 50 rupees. The proportion is 30: 70: 50 i.e. 3: 7: 5. Their share of the profit is altogether 210 rupees.

Let their individual profit be 3k, 7k, 5k.

Then, 3k + 7k + 5k = 210

∴ 15k = 210

∴ k = 14

Abdul’s profit = 3k = 3 × 14 = 42 rupees.

Sejal’s profit = 7k = 7 × 14 = 98 rupees.

Soham’s profit = 5k = 5 × 14 = 70 rupees.