# Tips And Tricks And Shortcuts For Successive Discounts

## Tips , Tricks and Shortcuts Of Successive Discount

The Reduction in Price of a Goods or Service , known as Discount.

And when the discount is applied on other discount known as Successive Discount ### Successive Discount Tips and Tricks and Shortcuts

• The most important question is which discount is better among Successive discount and One Time Discount. So here by means of an example, we will explain the simple tricks to solve these Successive Discount based question quickly

Example :   What is the Successive Discounts of 10% and 20%

Solution:    10% = $\frac{10}{100}$ = $\frac{1}{10}$(Now subtract numerator from denominator

Which is 10 – 1 = 9

Similarly, 20 % = 20/100 = 2/10 (Now subtract numerator from denominator)

Which is 10 – 2 = 8

Now Multiply 10 * 10 and 9 * 8

We get 100 and 72.

Now subtract 72 from 100 = 28

Therefore, Successive Discounts is 28%

### Type 1: Tips and Tricks and Shortcuts for Successive Discount. When there are two discounts (1st discount is x% and 2nd  discount is y%)

Question 1.  The marked price of a toy is Rs.1000. The storekeeper offers 10% discount on the toy at first and then offers 20% discount on the new price. What final price do the customer need to pay?

Options.

A. Rs 720

B. Rs 280

C. Rs 440

D. Rs 300

Solution:     1st discount (M) = 10%

2nd discount (N) = 20%

Total discount = M + N – $\frac{MN}{100}$

Total discount = 10 + 20 – $\frac{10 × 20 }{100}$

Total discount = 28%

28% of 1000 = Rs. 280

Selling Price = Marked Price – discount

Selling Price = 1000  280 = Rs 720

Correct option: A

### Type2: Successive Discounts Tips and Tricks and Shortcuts If there are more than two discounts (1st discount is x%, 2nd  discount is y% and 3rd discount z%)

Question 1.The marked price of a toy is Rs.1000. The storekeeper offers 10% discount on the toy at first and then offers 20% discount and lastly offers 30% discount on the new price. What final price do the customer need to pay?

Options

A. Rs 500

B. Rs 502

C. Rs 504

D. Rs506

Solution:     First, calculate for first 2 discounts = 28% (as calculated in question 1)

Now discount D = 28 % and Z = 30 %

Total discount = D + Z + $\frac{DZ}{100}$

Total discount = [28 + 30 – $\frac{28 × 30}{100}$ ] %

Total discount = 49.6%

Discount = 49.6% of 1000 = 496

Selling Price = 1000  496 = Rs 504

Correct option: C