Two samples of tea powder are available, sample P at Rs. 310 per kg and sample Q Rs. 430 per kg. A shopkeeper buys 6 kg of Q and mixes it with some powder of sample P. After selling the mixture at Rs. 480 per kg, she makes a profit of 20%. Find the amount of sample P in kilogram.
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Given:
- Sample P bought at Rs. 310 per kg and sample Q at Rs. 430 per kg
- Mixture is sold at Rs. 480 per kg
To find:
The amount of sample P in kilograms.
Solution:
1) It is given in the question that there is a profit of 20% when the mixture is sold at ₹480/kg
2) Then the cost price of the mixture is given by:
- CP + (20/100)CP = 480
- 120CP/100 = 480
- CP = 480×100/120
- CP = ₹400
3) Now we will find the ratio of the quantities of the samples
P Q
310 430
400
30 90
- P:Q = 1:3
The quantity for ratio 3 is given as 6 kg then for the 1 is must be 2 kg.
The amount of sample P is 2 Kg.
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