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Sumit borrowed a capital of Rs. 50,000 to start his food products business. In the first year he suffered a loss of 20%. He invested the remaining capital in a new sweets business and made a profit - Algebra

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प्रश्न

Sumit borrowed capital of Rs. 50,000 to start his food products business. In the first year, he suffered a loss of 20%. He invested the remaining capital in a new sweets business and made a profit of 5%. How much was his profit or loss computed on his original capital?

योग

उत्तर

Sumit borrowed capital = Rs. 50000

Loss incurred in the first year = 20% × 50000

= `20/100 xx 50000` = ₹ 10,000

Remaining Capital = Total Capital − Loss

50,000 − 10,000

= ₹ 40,000

Profit in food products business = 5% of ₹ 40,000

= `5/100 xx 40000`

= ₹ 2000

Capital held by Sumit after two years =  40,000 + 2000

= ₹ 42,000

Total loss in original capital = 50,000 − 42,000

= ₹ 8000

Loss% = `8000/50000 xx 100`

= 16 %

Sumit suffered a total loss of 16% on the original capital.

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अध्याय 6: Financial Planning - Practice set 6.1 [पृष्ठ ९८]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 6 Financial Planning
Practice set 6.1 | Q 2 | पृष्ठ ९८

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