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Arithmetic : Level 1 Test -6

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Question 1
If the selling price of 14 pen-drives is equal to the cost price of 10 pen-drives, then what is the % loss?
A
28%
B
28.57%
C
34%
D
none
Question 1 Explanation:
Let us assume the cost price of 1 pen drive is Rs. 10 .
So the Cost Price of 14 pen drives are = Rs. 140.
Selling price of 14 pen drives= Rs. 100
So 40 is lost for every 140 spent.
Loss = (40/140) x 100 = 400/14 = 28.57%
So option B is the right answer
Question 2
A certain sum of money amounts to Rs. 1250 at simple interest in 3 years and Rs. 1500 in 4 years.  What is the sum and rate of interest?
A
Rs. 600 and 50% rate
B
Rs. 500 and 45% rate
C
Rs. 500 and 50% rate
D
Rs. 500 and 40% rate
Question 2 Explanation:
Sum amounts to Rs. 1250 in 3 years
Sum amounts to Rs. 1500 in 4 years
So Interest is Rs. 250 in one year.
Since question said about the simple interest
We know simple interest remains constant for every year,
therefore, for three years Simple Interest will be Rs. 750
Thus, original principal = Rs. 500
Now we have to check the rate of Interest
We have P = Rs. 500
S.I.= Rs. 750
Time =3 years
Rate = (S.I. X 100) / (P x T)
Rate = 50%
Question 3
Richa lent a part of Rs. 1500 to Natasha at 10% rate and rest of it at 7% per annum simple interest. If the total annual interest earned by her in 3 years was Rs. 396, find the sum lent at 10%
A
300
B
700
C
500
D
900
Question 3 Explanation:
We have principal value = 1500
Let the part = G
Therefore the rest sum at 7% = Rs. 1500 – G
(G x 10/100 x 3) + (1500 – G) x 7/100 x 3= 396
30G +31500 – 21G =39600
Therefore, the required sum is Rs. 900
Question 4
At what rate of simple interest per annum will a sum become 4/3 of itself in 2 years?
A
16.66%
B
12%
C
14.56%
D
none
Question 4 Explanation:
Let the principal be P
After two years the amount will be 4/3P
So the Simple Interest will be P/3
Rate = (100 x S.I.) / P x T
Rate = (100 x P/3) / P x 2 = 16.66%
Question 5
Megha deposited 4500 for 4 years at simple interest. On maturity, she received Rs. 240 as interest What will be the annual rate of interest?
A
1.33%
B
2.33%
C
3%
D
3.33%
Question 5 Explanation:
As given in the previous question
Rate = (100 x S.I.) / (P x T)
Rate = (100 x 240)/ 4500 x 4 = 1.33%
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