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in Direct Proportion and Inverse Proportion by (46.9k points)
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Virat and Samrat together invested Rs 50000 and Rs 120000 to start a business. They suffered a loss of 20%. How much loss did each of them incur?

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Total investment = Rs 50000 + Rs 120000 = Rs 170000 

Loss incurred = 20% 

∴ Total loss = 20% of 170000 

= 20/100 x 170000

= Rs 34000 

Proportion of investment = 50000 : 120000 

= 5 : 12 …. (Dividingby 10000) 

Let the loss incurred by Virat be Rs 5x and that by Samrat be Rs 12x. 

5x + 12x = 34000 

 ∴ 17x = 34000 

∴ x = 34000/17 = 2000

∴ Virat’s loss = 5x = 5 × 2000 = Rs 10000 

Samrat’s loss = 12x = 12 × 2000 = Rs 24000 

∴ The loss incurred by Virat and Samrat are Rs 10000 and Rs 24000 respectively.

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