44264.A dishonest dealer uses a scale of 80cm instead of a metre scale and claims to sell at cost price. His profit is ___ .
10%
25%
35%
40%
Explanation:
In such problems involving dishonest dealer, you know the formula that
Gain % = Error / (True value – Error) x 100In such problems involving dishonest dealer, you know the formula that
Gain % = Error / (True value – Error) x 100
Error = difference between correct scale and false scale = 100 – 80 = 20
True value = Correct scale = 100
Therefore, Gain % = (20/(100 – 20)) x 100
= 25%
Error = difference between correct scale and false scale = 100 – 80 = 20
True value = Correct scale = 100
Therefore, Gain % = (20/(100 – 20)) x 100
= 25%
Gain % = Error / (True value – Error) x 100In such problems involving dishonest dealer, you know the formula that
Gain % = Error / (True value – Error) x 100
Error = difference between correct scale and false scale = 100 – 80 = 20
True value = Correct scale = 100
Therefore, Gain % = (20/(100 – 20)) x 100
= 25%
Error = difference between correct scale and false scale = 100 – 80 = 20
True value = Correct scale = 100
Therefore, Gain % = (20/(100 – 20)) x 100
= 25%
44265.A manufacturer sells a pair of sarees to a wholesale dealer at a profit of 15%. The wholesale dealer sells the same to a retailer at a profit of 20%. The retailer in turn sells them to customer for Rs.250. Find the cost price of the manufacturer, if the retailer makes a profit of 30%.
Rs.139.35
Rs.135.75
Rs.138.25
Rs. 137.48
Explanation:
Let the CP for the manufacturer be Rs.X.
CP for the wholesale dealer = 115% of CP for the manufacturer = 115% of X
CP for the retailer = 120% of CP for the wholesale dealer = 120% of 115% of X
CP for the customer = 130% of CP for the retailer = 130% of 120% of 115% of X
But, from the question, we know CP for the customer = 250
Therefore, 250 = 130/100 x 120/100 x 115/100 x X
250 = 897X/500
X = 250x500 / 897
X = Rs.139.35
CP for the wholesale dealer = 115% of CP for the manufacturer = 115% of X
CP for the retailer = 120% of CP for the wholesale dealer = 120% of 115% of X
CP for the customer = 130% of CP for the retailer = 130% of 120% of 115% of X
But, from the question, we know CP for the customer = 250
Therefore, 250 = 130/100 x 120/100 x 115/100 x X
250 = 897X/500
X = 250x500 / 897
X = Rs.139.35
44266.Arun got 20% concession on the labeled price of an article and sold it for Rs.5000 with 15% profit on the price he bought. What was the labeled price ?
Rs.6750
Rs.5434.78
Rs.6485
Rs. 5454.88
Explanation:
From the question, we know that SP = Rs.5000 and Profit percentage = 15%
We know the formula that Profit percentage = Profit / CP x 100% = [(SP – CP) / CP] x 100%
Therefore, 15 = ((5000 – CP) / CP) x 100
Or, 15CP = (5000 – CP) x 100
Or, 115CP = 500000
Or, CP = Rs.4347.83
Let the labeled price be Rs.X
From question we know, Arun got concession of 20% from labeled price.
Therefore CP for Arun = Labeled price – 20% of Labeled price
Or, CP = X – 0.2X
But, we know CP = 4347.83
Therefore, 4347.83 = 0.8X
or X = 4347.83/0.8 = Rs. 5434.78
We know the formula that Profit percentage = Profit / CP x 100% = [(SP – CP) / CP] x 100%
Therefore, 15 = ((5000 – CP) / CP) x 100
Or, 15CP = (5000 – CP) x 100
Or, 115CP = 500000
Or, CP = Rs.4347.83
Let the labeled price be Rs.X
From question we know, Arun got concession of 20% from labeled price.
Therefore CP for Arun = Labeled price – 20% of Labeled price
Or, CP = X – 0.2X
But, we know CP = 4347.83
Therefore, 4347.83 = 0.8X
or X = 4347.83/0.8 = Rs. 5434.78
44267.The ratio between the cost price and selling price of an article is 4:7. Find the ratio between the profit and cost price of that article.
2:3
3:5
3:4
2:5
Explanation:
We know that the ratio between CP and SP is 4:7
So, we can assume CP = Rs.4x and SP = Rs. 7x
Profit = SP –CP = 7x – 4x = 3x
Required ratio = Profit: CP
= 3x:4x
= 3:4
So, we can assume CP = Rs.4x and SP = Rs. 7x
Profit = SP –CP = 7x – 4x = 3x
Required ratio = Profit: CP
= 3x:4x
= 3:4