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If 50 bananas be sold for Rs. 160 at a loss of 20%. How many bananas should he sell for Rs. 1,540 so as to make 10% profit?
Question

If 50 bananas be sold for Rs. 160 at a loss of 20%. How many bananas should he sell for Rs. 1,540 so as to make 10% profit?

A.

320

B.

300

C.

360

D.

350

Correct option is D

Given:
Selling price of 50 bananas = Rs. 160
Loss = 20%
New total selling price = Rs. 1,540
Required profit = 10%
Formula Used:
CP=SP1Loss%100 SP=CP×(1+Profit%100)CP = \frac{SP}{1 - \frac{Loss\%}{100}}\\\ \\SP = CP \times \left(1 + \frac{Profit\%}{100}\right)​​
​Solution:
CP of 50 bananas = 160120100=1600.8=200\frac{160}{1 - \frac{20}{100}} = \frac{160}{0.8} = 200​​
CP of 1 banana = 20050=4\frac{200}{50}= 4
SP of 1 banana at 10% profit = 4 × 1.1 = 4.4
Number of bananas sold for Rs. 1,540  = 15404.4\frac{1540}{ 4.4}​ = 350

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