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Sumit borrowed a capital of ₹ 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 ?

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Original capital borrowed by Sumit = ₹ 50000 

Sumit suffered a loss of 20% in his food products business.

∴ Loss suffered in the first year = 20% of 50000 

\(\frac{20}{100}\) × 50000 

= ₹10000 

Remaining capital = Original capital – loss suffered = 50000- 10000 

= ₹ 40000 

Sumit invested the remaining capital i.e. ₹ 40,000 in a new sweets business.

He made a profit of 5%. 

Profit in sweets business = 5% of 40000

= \(\frac{5}{100}\) x 40000 100 

= ₹ 2000 

New capital with Sumit after the profit in new sweets business = 40000 + 2000 = ₹42000

Since, the new capital is less than the original capital,

we can conclude that Sumit suffered a loss. 

Total loss on original capital = Original capital – New capital 

= 50000 – 42000 = ₹ 8000

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

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