Molly, Nafeeza and Omana started a tailoring shop. The money they invested for this is in the ratio 5 : 7 : 8. They divide the profit also in this ratio. One year, Omana got 1800 rupees more than Molly. How much did each get that year?

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Solution

Ratio in which money is invested by Molly, Nafeeza and Omana = 5:7:8

Let the profit earned by Molly be Rs.a.

∴ Profit earned by Omana = Rs.(a + 1800)

Ratio of the profit earned by Omana to the profit earned by Molly = 8:5

∴ Profit earned by Molly = Rs.a = Rs.3000

Profit earned by Omana = Rs.(a + 1800) = Rs.(3000 + 1800) = Rs.4800

Ratio of the profit incurred by Omana to the profit earned by Nafeeza = 8:7

Profit earned by Nafeeza = × Profit earned by Omana

= × Rs.4800

= Rs.7 × 600

= Rs.4200

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