Question

Virat and Samrat together invested
50000 and 120000 rupees to start a
business. They suffered a loss of 20%
How much loss did each of them incur?
​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

Given-:

Virat and samrat started a business

To find-:

how much loss did each of them incur

Solution-:

The ratio of investment is 50000 : 120000

$\frac{50000}{120000 } = \: \frac{5}{12 } \: ie \: 5 : 12$

Total investment = ₹ 50000 + 120000 = 1,70,000

$loss \: = 20\%$

$∴loss \: = \frac{20}{100} \times 170000 \\ = \frac{20}{100} \times 170000 = 20 \times 1700 = 34000$

They incurred a loss of ₹ 34,000

$let \: the \: loss \: incurred \: by \: virat \: be\: \\ ₹ \: 5 \: x$

$let \: the \: loss \: incurred \: by \: samrat \\ be \: ₹ \: 12 \: x$

$∴ \: 5 \: x + 12x = 34000 \\ ∴ \: 17 \: x = 34000$

$∴x \: = \frac{34000}{17}$

$∴ \: x = 2000 \\ 5x = 5x2000 \: = 10000 \\ 12 \: x = 12 \times 20000 = 24000$

Hence-:

Loss incurred by virat = ₹ 1,000

Loss incurred by samrat = ₹ 24,000