three friends bought a variety priced at 9 3/4 per kg. If they bought 5 1/4 kg, 6 1/8 kg and 10 2/5 kg of rice respectively. find the total amount paid to the shopkeeper together by the three friends
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8th
Maths
Comparing Quantities
Prices Related to Buying and Selling
A shopkeeper mixed 10 kg of...
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Asked on January 17, 2020 by
Belal Laxmapur
A shopkeeper mixed 10 kg of rice costing Rs. 10 per kg with a certain quantity of another variety of rice costing Rs. 15 per kg. He sold the mixture at the rate of Rs. 14 per kg. What was the quantity of the second variety of rice, if he gained by 5% ?
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ANSWER
Let quantity of second variety of rice = x kg
Total Cost Price =∑(Amount×Price rate)
=10×10+x×15
=15x+100 Rs
Total Selling Price of mixture = Total amount of mixture × rate of mixture
=(10+x)×14=140+14x Rs
Gain percentage = 5%
∴Gain=5% of Cost Price=
100
5
×(15x+100)=
4
3x
+5
We know that, Gain=Selling price−Cost price
⇒
4
3x
+5=(140+14x)−(15x+100)
⇒
4
3x
+5=140+14x−15x−100
⇒
4
3x
=35−x
⇒
4
7x
=35
∴x=
7
35×4
=20
Hence, quantity of second variety of rice = x kg = 20 kg.