## Percentage Type2 Shortcut Tricks

### Example 1:

Bibhas work in shop and his 30% of income is Rs.1800 . Now Find the 65% of his income and also find the 1 / 5 of Bibhas income .

• Solution: 30% = 1800 So, 65% = 1800 x 65 / 30 = 3900
• Shortcut Trick: 1800 x 65 / 30 = 3900.
• Solution: we know that 1 / 5 = 20% so, 1800 x 20 / 30 = 1200.

### Example 2:

Bibhas ‘s salary was decreased by 20% and later increased by 20%, How much percent does he lose?
Solution:
Let Bibhas’s original salary = Rs.100
Now salary is = 120% of ( 20% of 100 ) = 120 x 80 x 100 / 100 x 100 = 96.
So, Bibhas Decrease salary is = 4%

### Example 3:

If the sum of 40% & 20% of a number is 520. Find the 75% of that number ?
40% + 20% = 520
60% = 520
1% = 520 / 60
75% = 520 x 75 / 60 = 650.

### Example 4:

Karan’s monthly income is Rs. 14000. If his monthly income is increased by 10%. Find the total income after 2 months ?
Solution :
= 14000 x 110 x 110 / 100 x 100
= 16940

### Example 5:

Jamal’s salary is increased by 10% & he got now Rs. 6000 . Find the salary before the increase ?
6000 x 100 / 110 = 5454.54

### Example 6:

If the product of 15% & 20% of a number is 360 . Find the sum of the 15% and 20% of that number ?
15% x 20% = 360
300% = 360
1% = 360 / 300
Sum of ( 15 + 20 )% = 35%
35% = 360 x 35 / 300 = 42.

### Example 7:

If Rahul’s income is 20% more than Rohan then how much percentages Rohan’s income is less than that of Rahul’s income ?
We applied formula = ( increment% / 100 + increment% ) x 100
20 / 100 + 20 = 20 x 100 / 120 = 50 / 3.

### Example 8:

Falguni’s salary is 40% of Dipika salary which is 25% of Rima’s salary . What percentage of Rima’s salary is Falguni’s salary ?

Falguni : Dipika : Rima = 40 : 100 : 400
= 2 : 5 : 20
So , Required percent = 2 x 100 / 20 = 10%

### Example 9:

Nilam who invest 25% of her income and she is able to save Rs.1500 per month. How much money her monthly expenses :
Solution :
Let her monthly income be Rs. X
Then ( 100 – 25)% of X = 1500
(75 % of X) = 1500
(75 /100) x X = 1500
X = 1500 x 100 / 75
X = 2000
Monthly expenses is = Rs.(2000 – 1500) = Rs. 500

### Example 10 :

Raju has a Electronic shop, he marked his goods price always 25% more than the cost price. Find the cost price of a iPod, If a customer paid for iPod Rs.2890.