# Tips and Tricks and Shortcuts For Successive Discounts

## Tips and Tricks for Successive Discount

Here, In this Page Tips and Tricks for Successive Discounts is given. 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.

There are Many Applications of Successive Discounts. Many Products and Services which is used in our daily life on which successive discounts applied. ### Tips and Tricks for Successive Discount

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 questions.

In these types of Question First Find

Example :   What will be Equivalent Discount of two Successive Discounts of 10% and 20% ?

Solution:   Total discount = x + y – $\frac{xy}{100}$

$10 + 20 -\frac{10\times 20}{100}$

= 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 (x) = 10%

2nd discount (y) = 20%

Total discount = x+ y – $\frac{xy}{100}$

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

Total discount = 28%

28% of 1000 = Rs. 280

Selling Price = Marked Price – discount

Selling Price = 1000  280 = Rs 720

Correct option: A

Question 2.  A Man gives 10% and 12% on a Particular Grocery Product. What will be Equivalent Discount of  10% and 12 % ?

Options.

A. 21.8%

B. 20.8%

C. 19.8%

D. 18.8%

Solution:     1st discount (x) = 10%

2nd discount (y) = 12%

Total discount = x + y – $\frac{x \times y}{100}$

Total discount = 10 + 12 – $\frac{10 \times 12 }{100}$

Total discount = 20.8%

Correct option: B

### 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. Rs 506

Solution:     First, calculate for first 2 discounts

1st discount (x) = 10%

2nd discount (y) = 20%

Total discount = x+ y – $\frac{xy}{100}$

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

Total discount = 28%

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

Question 2. What will be Equivalent Discount of  5 % , 4 % and 3%.

Options.

A. 11.736%

B. 11.536%

C. 12.736%

D. 12.536%

Solution:     1st discount (x) = 5%

2nd discount (y) = 4%

Total discount = x + y – $\frac{x \times y}{100}$

Total discount = 5 + 4 – $\frac{5\times 4 }{100}$

Total discount = 8.8%

Now discount D = 8.8 % and Z = 3 %

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

Total discount = [8.8 + 3 – $\frac{8.8 × 3}{100}$ ] %

Total discount = 11.536%

Correct option: B

Formulas for Successive Discount