# How To Solve Successive Discounts Questions Quickly

## How to solve Quickly Successive Discounts Questions

• Successive discount is discount on discount.
Case 1: If there are two discounts.
Case 2: If there are three discounts.
• Marked price is the price marked on the product. It is the same price on which you get discounts.

For Example: The marked price of a shirt is Rs.1000. A shopkeeper offers 10% discount on this shirt. How much will you have to pay, finally?

• Discount =10% of 1000 = (10/100)*1000 =Rs 100
• Selling Price= 1000- 100 = Rs 900
• But in exam,you can do it directly in your head.So just think that 10 percent discount means you’ve to pay 100 percent minus 10 percent=90 percent of the marked price which means, (90/100)* 1000 =Rs. 900 ## Type1: If there are two discounts (1stdiscount is x% and 2nd discount is y%)

### Question 1.

The present population of town is 5000. In the first year the population increased 20% and in the next year decreased by 30%. Find the population after two years?

Options.

A. 1000

B. 3840

C. 1780

D. 4200

#### Solution

20% = 20/100 = 2/10 (Now add numerator and denominator as the percentage increased)

Which is 10 + 2 = 12

Similarly, 30 % = 30/100 = 3/10 (Now subtract numerator from denominator as the percentage decreased)

Which is 10 – 3 = 7

Now Multiply 10 * 10 and 12 * 7

We get 100 and 84.

Now solve 5000/100 * 84 = 4200

## How To Solve Successive Discount Questions Quickly

### Question 2.

The successive discount of 30% and 40% is given on holiday package. If the price of the package is 10000. What is final price of the package?

Options

A. 2100

B. 4200

C. 2400

D. 5800

#### Solution:

Total discount = M + N -MN/100

Total discount = 30 + 40 – (3* 40) / 100

Total discount = 58%

Discount = 58% of 10000

Discount = 5800

S.P = M.P – Discount

S.P = 10000 – 5800

S.P = 4200

### Question 3.

A shopkeeper is selling a phone at 15000 Rs but he is offering two schemes

Scheme A: Buy it at one time discount of 30%

Scheme B: Buy it at two successive discounts of 15% and 15%

Help the customer to find the best scheme.

Options

A. Scheme A

B. Scheme B

C. Both are equal

D. None of the above

#### Solution:

Scheme A offers Discount of = 30%

It means 0.7 * original price

Scheme B offers Discount of = 15% and 15%

It means 0.85 * 0.85 * original price = 0.7225 * original price

Therefore, Scheme A is the best scheme.

## Type 2: If there are two discounts (1st discount is x%, 2nd  discount is y% and 3rd discount z%)

### Question 1.

In a shop a dress was on a discount. The discount on the printed price of the dress are 20% and 12% and 5 % respectively, what is the total percentage of actual discount given on the dress?

Opts

A. 33.12%

B. 33.5%

C. 21.3%

D. 33%

#### Solution:

First, calculate for first 2 discounts = 20 + 12 – (20 * 12) / 100 = 29.6%

Now discount D = 29.6% and Z = 5 %

Total discount = D + Z – DZ/100

Total discount = [29.6 + 5 – (29.6 * 5) / 100] %

Total discount = 33.12%

Therefore total discount is 33.12%

### Question 2.

In a shop a dress was on a discounts. The discount on the printed price of the dress are 5% and 10% and 15 % respectively. The marked price of the dress is 1500. Then calculate overall discount and selling price of the dress?

Options

A. 1000.125

B. 1900.125

C. 1910.125

D. 1090.125

#### Solution:

First, calculate for first 2 discounts = 5 + 10 – (5 * 10) / 100 = 14.5%

Now discount D = 14.5% and Z = 15 %

Total discount = D + Z – DZ/100

Total discount = [14.515 – (14.5* 15) / 100] %

Total discount = 27.32%

Discount = 27.32% of 1500 = 409.875

Selling price = 1500 – 409.875 = 1090.125

## How To Solve Quickly Successive Discount Questions

### Question  3.

A man gave his property at three successive discounts of 20%, 10% and 10%. If the price of a property was Rs. 500000 and sales tax on it is 15% of its sale price, then how much a buyer  will have to pay for it?

Options

A. 327600

B. 376200

C. 372600

D. 372060

#### Solution:

Selling price = price – discounts

Selling price = 500000 * (1-20/100) * (1-10/100) * (1-10/100)

Selling price = 324000

Rate of sales tax = 15%

Price to be paid by buyer = Selling price + tax

Price to be paid by buyer = 324000 + 15% of 324000

Price to be paid by buyer = 324000 + 48600

Price to be paid by buyer = 372600