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Arithmetic : Level 1 Test -4

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Question 1
Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400, the value of the consignment was
A
Rs. 15000
B
Rs. 12000
C
Rs. 10000
D
Rs.  20000
Question 1 Explanation:
Let the value of consignment be p.
Then2/3p x 1.05 +1/3p x 0.98 = p + 400
1/3p (3.08) = p +400
(0.08/3) p = 400
p = 15000
Hence, option A is the right answer
Question 2
Two shopkeepers announce the same price of Rs.  700  for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount give a discount which is more by Rs. _____ than the other shopkeeper:
A
Rs. 22.40
B
Rs. 11.80
C
Rs.  9.80
D
Both are same, Rs.0
Question 2 Explanation:
Price = 700
The first offers successive discounts of 30% and 6%
Therefore the selling price of the first shopkeeper 700 x 70/100 x 94/100 = Rs. 460.60
The second offers successive discounts of 20% and 16%
Selling price of second shopkeeper
700 x 80/100 x 84/100 = Rs. 470.40
Required difference
= 470.40 - 460.60 = Rs. 9.80
Question 3
Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?
A
25%
B
20%
C
10%
D
None of these
Question 3 Explanation:
Cost price of the transistor = 320
Profit 15%
Selling price = 320 x 1.15 = 368
Therefore the mark price will be
368+ 32 = Rs. 400
So the percentage will be
{(400 – 320) / 320} x 100 = 25%
So the right option is (a)
Question 4
In an examination, Richa obtained 20% more  than Pankaj but 10% less than Pranav . If the marks obtained by Pankaj are 1080, find the  percentage marks obtained by Pranav  if the full marks are 2000.
A
72%
B
86.66%
C
78.33%
D
None of these
Question 4 Explanation:
Full marks = 2000
Marks  of Pankaj = 1080
Marks obtained by Richa = 1080 x 120/100 = 1296
Marks obtained by Pranav = (1296 x 110)/100 = 1440
Therefore the percentage of marks achieved by Pranav = 1440 /2000 x 100 = 72%
Question 5
Richa  spends 20% of her monthly income on her  household expenditure, 15% of the rest on books,  30% of the rest on clothes and saves the rest. On  counting, she comes to know that she has finally saved  Rs. 9520. Find her monthly income
A
.Rs.  15000
B
Rs. 10000
C
Rs. 20000
D
None of these
Question 5 Explanation:
Let Income of Richa = 100
Expenditure
= 100 x 20% = 20
80 left
80 x 15% = 12
68 left
68 x 30% = 20.4
Therefore her  total  expenditure was = 52.4
And her saving was = 47.6
So when saving was 47.6 her monthly income was = Rs. 100
When saving is 9520 her monthly income was = 100/47.6 x 9520 = 20000
So option (c) is the right answer.
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