Module 1

Question 1

In%

1. 1/8, 2/8, 3/8
2. 1/11, 2/11, 3/11
3. 1/9, 2/9, 3/9
4. 1/7, 2/7, 3/7
5. 1/6

Answer 1

1. 12.5%, 25%, 37.5%
2. 09.09%, 18.18%, 27.27%
3. 11.11%, 22.22%, 33.33%
4. 14.28%, 28.56%, 42.94%
5. 16.66%

Question 2

Effective% change?

Answer 2

a + b + ab*1/100

Question 3

A is 10% less than B
Then A is?

Eg: find c if 90 is 25% less than c?

Answer 3

90% of B

90 = 75% of c
c = 120

Question 4

If the numerator of a fraction is increased by 20% and its denominator decreased by 10% the fraction becomes 3/2 what is the value of the original fraction?

Answer 4

120/90 * x = 3/2

X = 9/8

Question 5

If principle is double then interest?

If principle is triple then interest?

Answer 5

100%

200%

Question 6

Compound interest?

Answer 6

P(1+r/100) ^n

Use multiplying factor to calculate.
Eg: 11 %
100+11 = 111
Then, divide by 100, 1.11

Question 7

P = 100
r = 20%
n = 3

Answer 7

100* (1.2)^3
100* 1.728 (before 3 places)
172.8

Question 8

CI of first year is 200
At 10%
Then of 2nd and 3rd year??

Answer 8

10% of 200 + 200= 220 (2nd year)

10% of 220 + 220 = 242 (3rd year)

• there is not much difference between CI and SI so if you are to find CI find SI and then approximate value would be the CI.

Question 9

If CI become 3 times itself in 3 years.

Then in how many years 9 times?

Answer 9

3^2 = 9

So time 3*2 = 6years

Question 10

Discount on?

Profit/ loss on?

Answer 10

MP

CP

Question 11

Quantity profit?

Answer 11

Goods left/ goods sold *100

Question 12

CP of 24 apples = SP of 18 apples

Then profit?

Answer 12

Either use quantity profit method.
Or.

LCM of 18,24 = 72
72/24= 3 (CP)
72/18= 4 (SP)

Profit: 1/3 *100= 33.33%

Question 13

Buy 2 get 1 free.

Discount offered?

Answer 13

Free/total *100

1/3*100 = 33.33%

Question 14

CP 1000
Increase by 10% then decrease by 20% and again increase by 10%.
Net change?

Answer 14

Use multiplying factor:

10001.10.8*1.1
968

Question 15

If 2 litre water mixed in 8 litre milk, then, profit?

Answer 15

2/8*100 = 25%

Question 16

If profit = SP of n articles

If profit = CP of n articles

Q. Saurabh sold 250 cycles and had a gain equal to the selling price of 50 cycles. what is his profit percentage?

Answer 16

Assume SP = rs 1 of each article

Assume CP = rs 1 of each article

Ans: let SP be 1, then total SP = 250
And gain, 50.
Thus, CP = 250-50 = 200
profit = 50/200 * 100 = 25%

Question 17

Profit of article 1 = x
Profit of article 2 = y
Average profit is z
Then ratio of their CP?

Answer 17

x y
z
(y-z) (x-z)

Ratio of CP: y-z
———
x-z

Question 18

A dealer wants to on 25% profit on an article after offering 50% discount to the customer if the market price of the article is 500 then the cost price of the article must be?

Answer 18

MRP - dist = CP + profit
500 - 250 = CP + 125CP/100
250 = CP + 5CP / 4
Thus, CP = 200

Question 19

A man sold an article at a profit of 10% If he had charge Rs 45 more his profit percentage would have been 25%?
CP?

Answer 19

110% of CP + 45 = 125% of CP

Thus, CP is 300

Question 20

A milk man makes a profit of 20% by selling his milk. One find day he decided to mix 10% water to his milk. what will be his profit percentage on the particular day?

Answer 20

a+b+ab/100
20+10+200/100
32