a fruit seller bought 75 kilogram apples at ₹ 30 per kilogram.he sold one-third apples at a loss of 5% .at what rate should he sell the remaining so that his overall gain is 10%
Answers
Step-by-step explanation:
75/3=25 kg of apples were sold at a loss of 5%
The 25 kg apples for bought for:
30=75=(1/3)=750 rupees.
A loss of 5% means they were sold for
=95=750=712.5 rupees.
For the overall game to be gain 10%, the selling price to all 75 of the apples must be
30= 75=1.1=2475
2475-712.5=1762.5 is the price of remaining 2/3
The remaining (2/3) =75=50kg of apples should be sold at a rate of 1762.5/50= 32.25 rupees/kg
Hope you understand this explanation ☺️
The answer is 35.25 Rs
Given:
A fruit seller bought 75 kg apples at ₹ 30 per kg
He sold one-third of apples at 5% loss
To find:
The rate of apples at which he can sell the remaining to get 10% gain over all
Solution:
Given seller bought 75 kg at ₹ 30 per kg
⇒ cost of 75 kg apples = 30 × 75 = 2250 Rs
He sold one-third at 5% loss
one-third of 75 kg =
⇒ cost of 25 kg apples = 25 × 30 = 750
and selling price of 15 kg apples = 50× 30 = 1500 Rs
⇒ Selling price of 25 kg with loss 5% = (100 – Loss%)/100 × Cost Price
⇒ (100-5)/100 × 750 = 95/100(750) = 712.5 Rs
Loss on selling 25 kg apples = 750 - 712.5 = 37.5
If he got 10% over all then profit = (gain%)/100 × Cost Price
= (10)/100 × 2250 = 225 Rs.
Here to get 10% gain overall he must cover 37.5 Rs of loss
Then the selling price of 50 kg apple must be
= 1500+ 37.5(loss) + 225 (profit) = 1762.5 Rs
Let assume that at rate x the profit overall will 10 %
Then selling price = 50x
⇒ 50x = 1762.5
⇒ x = 35.25 Rs
If he sell remaining at rate 35.25 Rs. he will get 10% gain overall
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