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How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper mix with 25 kgs of rice of variety-2 costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
- a)15
- b)20
- c)25
- d)30
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper...
Answer – B.20 Explanation : 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg. (x×42)+(25×24)=32(x+25) 42x+600=32x+800 10x=200 x=20kgs.
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
Most Upvoted Answer
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper...
Given:
Cost of variety-1 rice = Rs. 42/kg
Cost of variety-2 rice = Rs. 24/kg
Selling price = Rs. 40/kg
Profit required = 25%
Let the quantity of variety-1 rice to be mixed be x kgs.
Total cost price of the mixture = cost of variety-1 rice + cost of variety-2 rice
= 42x + 24(25) = 42x + 600
Total selling price of the mixture = selling price * total quantity
= 40(x+25)
Profit = selling price - cost price
= 40(x+25) - (42x + 600)
= 40x + 1000 - 42x - 600
= -2x + 400
As profit is required to be 25% of cost price, we have:
Profit/Cost Price * 100 = 25
-2x + 400 / (42x + 600) * 100 = 25
-2x + 400 = 10.5x + 150
12.5x = 250
x = 20
Therefore, the shopkeeper should mix 20 kgs of variety-1 rice with 25 kgs of variety-2 rice to make a profit of 25% on selling the mixture at Rs.40/kg.
Cost of variety-1 rice = Rs. 42/kg
Cost of variety-2 rice = Rs. 24/kg
Selling price = Rs. 40/kg
Profit required = 25%
Let the quantity of variety-1 rice to be mixed be x kgs.
Total cost price of the mixture = cost of variety-1 rice + cost of variety-2 rice
= 42x + 24(25) = 42x + 600
Total selling price of the mixture = selling price * total quantity
= 40(x+25)
Profit = selling price - cost price
= 40(x+25) - (42x + 600)
= 40x + 1000 - 42x - 600
= -2x + 400
As profit is required to be 25% of cost price, we have:
Profit/Cost Price * 100 = 25
-2x + 400 / (42x + 600) * 100 = 25
-2x + 400 = 10.5x + 150
12.5x = 250
x = 20
Therefore, the shopkeeper should mix 20 kgs of variety-1 rice with 25 kgs of variety-2 rice to make a profit of 25% on selling the mixture at Rs.40/kg.
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Community Answer
How many kgs of rice of variety-1 costing Rs.42/kg should a shopkeeper...
Answer – B.20 Explanation : 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg. (x×42)+(25×24)=32(x+25) 42x+600=32x+800 10x=200 x=20kgs.
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
Shortcut: 125 = 40
100 = 32
42……………….24
………32…………..
8…………………….10
10 = 25
8 = 20
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