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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 man purchase 12 Bananas for Rs. 11 and 11 Bananas for Rs 12 . How much profit and loss does he make ?

(a) profit 19% (b) profit 10% (c) profit 9% (d) profit 26%

Solution.
Purchases : 12 bananas for Rs.11

Sells : 11 bananas for Rs 12 .

= (144 - 121)/121

= 2300/121

profit 19%
Solution

Q2. A sells a good to B at a profit of 20% and B sells it to C at a profit of 15%. If C pays Rs. 215 for it , What did A pay for it ?

(a) 155.8 (b) 160 (c) 179.6 (d) 182

Solution.
= 215 x 100/120 x 100/115

= 155.8
Solution

Q3. A dishonest dealer claims to sell his goods at a loss of 10% but weight 900 gms in the place of a Kg .

(a) 2% loss (b) 2% profit (c) 6% profit (d) no profit no loss

Solution.
no profit no loss

= (100 - 10)(1000/900) - 100

(90 x 1000)/900 - 100

= (100 - 100)

= 0%
Solution

Q4. On Rs.1000 Trader A gives 40% and trader B allows 30% and 10% . Two consecutive discounts, find the difference value of both the discounts.

(a) 30 (b) 40 (c) 50 (d) 20

Solution.
(a) 30
Solution

Q5. A money at the rate of 14% per annum , in how many years it will be 8 times ?

(a) 80 years (b) 50 years (c) 60 years (d) 20 years

Solution.
(b) 50 years

[(n - 1) x 100]/r

= (7 x 100)/14

= 100/2 = 50
Solution

Q6. What annual payment will discharge a dept of Rs.900 due in 6 year, the rate of interest being 5% per annum .

(a) 67.6 (b) 133.4 (c) 140 (d) 149.5

Solution.
=
100 A/100t +
rt (t - 1)/2


=
100 x 900/100 x 6 +
(5/6)(5)/2


=
90000/600 + 75


=
90000/675


= 133.4
Solution

Q7. A sum amounts to Rs.2240 in two years at SI, and amounts to Rs.2600 in five years , find principal .

(a) Rs.900 (b) Rs.1500 (c) Rs.2000 (d) Rs.1800

Solution.
(c) Rs.2000
Solution

Q8. In Annuity, CI is used.

(a) False (b) True (c) Can't say

Solution.
(b) True
Solution

Q9. A what rate of CI does a sum of money become 16/9 time itself in 2 years .

(a) 33.3% (b) 12% (c) 22% (d) 14%

Solution.
A = P(1 + r/100)n

16P/9 = P(1 + r/100)2

4/3 = 1 + r/100

r = 33.3%
Solution

Q10. If the CI on a certain sum of money for 2 years at 5% is Rs.190, find the SI at the same rate of the same time .

(a) 145.6 (b) 160 (c) 185.3 (d) 190

Solution.
SI =
200r/r(r + 200)
x CI

SI =
200 x 5 x 190/5 x 205


=
190000/1025


= 185.3
Solution