Question: 41 -
Find the single discount equivalent to a series discount of 30 %, 20 % and 10 %.
-
38.21%
-
33.33%
-
48.3%
-
49.6%
Answer:
49.6%
Solution:
Let marked price be Rs. 100 Therefore, selling price = 90%, 80% and 70% of Rs. 100
Selling Price = [(90/100) ×(80/100)×(70/100)× 100]
= 50.4
Required discount = Marked Price – Selling Price= 100 – 50.4= 49.6 %
Let marked price be Rs. 100 Therefore, selling price = 90%, 80% and 70% of Rs. 100
Selling Price = [(90/100) ×(80/100)×(70/100)× 100]
= 50.4
Required discount = Marked Price – Selling Price= 100 – 50.4= 49.6 %
Question: 42 -
A dealer marks price of all the goods at 30 % above the cost price and assumes that he will make a profit of 15 % if he offers a discount of 15%. Find what will be his actual profit on sales?
-
12.5%
-
15%
-
30%
-
10.5%
Answer:
10.5%
Solution:
Let cost price goods be Rs. 100
Marked price (Selling Price) marked by the shopkeeper on goods = Rs. 130
He sells the goods at a discount of 15 %
Therefore,Selling price = 85 % of Rs. 130 = Rs. 110.50
Gain = S.P. – C.P. = 110.5 – 100
= 10.50 %
Let cost price goods be Rs. 100
Marked price (Selling Price) marked by the shopkeeper on goods = Rs. 130
He sells the goods at a discount of 15 %
Therefore,Selling price = 85 % of Rs. 130 = Rs. 110.50
Gain = S.P. – C.P. = 110.5 – 100
= 10.50 %
Question: 43 -
After two successive discounts, a tie with a list price of Rs. 120 is available at Rs. 90. If second discount is 9 %, what is the first discount?
-
None of these
-
17.58%
-
13.26%
-
Data inadequate
Answer:
17.58%
Solution:
Let first discount = x
91 % discount of (100 – x) % of 120 = 90 (100 – x)
=[(90 × 100 × 100)/(120*91)]
= 82.42
x = (100 – 82.42) = 17.58
Therefore, first discount = 17.58 %
Let first discount = x
91 % discount of (100 – x) % of 120 = 90 (100 – x)
=[(90 × 100 × 100)/(120*91)]
= 82.42
x = (100 – 82.42) = 17.58
Therefore, first discount = 17.58 %
Question: 44 -
The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?
-
70
-
50
-
None of these
-
60
Answer:
60
Solution:
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800 x = 1500
Profit = 300
Difference = 360 – 300 = 60
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800 x = 1500
Profit = 300
Difference = 360 – 300 = 60
Question: 45 -
A shopkeeper sells his goods at cost price but uses a weight of 970 grams for a kg. weight. What is his gain percent?
-
3.09%
-
5.08%
-
3.26%
-
4.23%
Answer:
3.09%
Solution:
Gain% =[Error/(True weight-error)× 100 ]%
Error = True weight – False weight Error
= 1000 – 970 = 30
Gain% =[30/(1000-30)] × 100]% Gain %= 3.09%
Gain% =[Error/(True weight-error)× 100 ]%
Error = True weight – False weight Error
= 1000 – 970 = 30
Gain% =[30/(1000-30)] × 100]% Gain %= 3.09%