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Unit 4

Unit-4:


(a)Profit, loss and discount
(b)Simple interest and compound interest
(c)Annuity
(d)Share and dividend


Q1. A person purchases 10 Apples of Rs.18 and sells 15 Apples of Rs.23

(a) loss 14.8% (b) profit 10% (c) profit 16% (d) loss 18%

Solution.
=
(10 x 23 - 15 x 18)/15 x 18
x 100

=
(230 - 270)/270
x 100

=
-4000/270


= loss 14.8%
Solution

Q2. A person sell 18 articles for the same money as he paid for 24 article . Find gain percent ?

(a) 33.3% (b) 43% (c) 39% (d) 42%

Solution.
=
x - y/y
x 100%

Where x = purchase articles, y = sold articles

=
24 - 18/18
x 100

=
6/18
x 100

= 33.3%
Solution

Q3. A shopkeeper gives 10% discount on watch , whose listed price is Rs.1100, Apart from this the shopkeeper gets profit of 10%. Find the cost price of a watch .

(a) Rs.400 (b) Rs.900 (c) Rs.700 (d) Rs.600

Solution.
(b) Rs.900
Solution

Q4. Find an equivalent single discount of three . Consecutive discounts 10%, 20%, 40% .

(a) 38.2% (b) 70% (c) 56.8% (d) 10%

Solution.
(c) 56.8%
Solution

Q5. At a certain rate of SI Rs.800 amounted to Rs.920 in 3 years . If the rate of interest is double ,what will be the interest after 3 years .

(a) Rs410 (b) Rs.328 (c) Rs.240 (d) Rs.300

Solution.
In first case SI = (120 x 100)/(800 x 3) = 5%

New interest = (800 x 10 x 3)/100 = 30 x 8

= Rs . 240
Solution

Q6. In simple interest a money become double in 15 years . Find the rate of interest .

(a) 8% (b) 6% (c) 20/3% (d) 21/4%

Solution.
(c) 20/3%
Solution

Q7. If a money is deposited in a bank at SI for 10 years , then interest received for each years will be same .

(a) true (b) false (c) can't say

Solution.
(a) true
Solution

Q8. If payment is made at the end of period , then is it known as immediate annuity .

(a) true (b) false (c) can't say

Solution.
(a) true
Solution

Q9. A sum of money of CI amount to Rs. 2750 in 2 years and amount Rs. 3125 in 3 years . find the sum .

(a) 2129 (b) 3000 (c) 4200 (d) 3900

Solution.
Sum = A1(A1/A2)n

= (2750)(22/25)2

= 2129.6
Solution

Q10. A sum of money placed at compound interest double it self in 5 years. It will amount to 8 times itself at the same rate of interest in ______ years .

(a) 15 (b) 20 (c) 21 (d) 26

Solution.
(a) 15

(n1)1/t1 = (n2)1/t2
Solution