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Answer :

Given, SP of a buffalo=₹ 20,000.

And Gain=5%

∴ \(SP=CP\; (1+\frac{Gain}{100}\))

\(\Rightarrow 20000=CP\; (1+\frac{5}{100}\))

\(\Rightarrow 20000=CP\;\times (\frac{105}{100}\))

\(\Rightarrow CP=\frac{20000\times100}{105}\)

\(\Rightarrow CP=₹\;\frac{4,00,000}{21}\)

SP of another buffalo=₹ 20,000

And given loss=10%

∴ \(SP=CP\; (1-\frac{loss}{21}\))

\(\Rightarrow 20000=CP\; (1-\frac{10}{100}\))

\(\Rightarrow 20000=CP\;\times (\frac{90}{100}\))

\(\Rightarrow CP=\frac{20000\times100}{90}\)

\(\Rightarrow CP=₹\;\frac{2,00,000}{9}\)

So we have total CP=\(₹\;\frac{4,00,000}{21}\) +\(₹\;\frac{2,00,000}{9}\)

\(=₹\;\frac{12,00,000+14,00,000}{63}\)

\(=₹\;\frac{26,00,000}{63}\)

And we have total SP=₹ 20,000 + ₹ 20,000 =₹ 40,000

Here we see that,SP < CP i.e., it was a loss.

∴ Loss=CP-SP

\(=₹\;\frac{26,00,000}{63}-₹ 40,000\)

\(=₹\;\frac{26,00,000-25,20,000}{63}\)

\(=₹\;\frac{80,000}{63}=₹\;1,269.84\)

Therefore, %Loss=\(\frac{Loss}{CP}\)

=\(\frac{\frac{80,000}{63}}{\frac{26,00,000}{63}}\times 100\)

=\(\frac{80,000}{63}\times\frac{26,00,000}{63}\times100\)

=\(\frac{80}{26}\)%=\(\frac{40}{13}\)%=\(3\frac{1}{13}\)%

Hence, the complete percent loss=\(3\frac{1}{13}\)%.

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- 5.A VCR and TV were bought for ₹ 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss per cent on the whole transaction.
- 6.During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of Jeans marked at ₹ 1450 and two shirts marked at ₹ 850 each?
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- 9. Arun bought a pair of skates at a sale where the discount is given was 20%. If the amount he pays is ₹ 1,600, find the marked price.
- 10. I purchased a hair-dryer for ₹ 5,400 including 8% VAT. Find the price before VAT was added.

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