## 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 ?

**Answer :**

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 ?

**Answer :**

**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 ?

**Answer :**

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 ?

**Answer :**

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 ?

**Answer :**

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.

**Answer :**

2890 x 100 / 125 = 2312