Tag: different discounts

Questions Related to different discounts

After getting two successive discounts, a shirt with a list price of $150$ is available at $105$. If the second discount is $12.5\%$, find the first discount.

maths money math different discounts successive discounts problems on discounts

  1. $10\%$

  2. $15\%$

  3. $20\%$

  4. $25\%$

Show answer
Correct Option: C
Explanation:

Let the first discount be x%.
Then, $87.5\%:of:(100-x)\%:of:150=105$

$\displaystyle\frac{87.5}{100}\times\frac{100-x}{100}\times150=105$

or $\displaystyle(100-x)=\frac{105\times100\times100}{150\times87.5}=80$
$x=100-80=20$
$\therefore$ First discount $=20\%$

The difference between a discount of $35\%$ and two successive discounts of $20\%$ on a certain bill was $22$. Find the amount of the bill.

maths money math different discounts successive discounts problems on discounts

  1. $200$

  2. $1100$

  3. $2200$

  4. $1000$

Show answer
Correct Option: C
Explanation:

Let the bill amount be 100.
One discount $=35$

Two successive discounts $\displaystyle\left(100-\frac{100\times80\times30}{100\times100}\right)(100-64)=36$

Difference $=36-35=1$

If the difference is 1, the bill amount is 100.
If the difference is 22, the bill amount will be $22\times100=2200$.

Find the SP of an article, if a shopkeeper allows two successive discounts $5\%$ each on the MP of $80$.

maths money math different discounts successive discounts problems on discounts

  1. $70.10$

  2. $70.20$

  3. $72$

  4. $72.20$

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Correct Option: D
Explanation:

Two successive discounts on 15% on MP 80. Therefore,

$\displaystyle SP=80\times\frac{95}{100}\times\frac{95}{100}=72.20$

Pepsi and Coke, there are two companies , selling the packs of cold-drinks. For the same selling price Pepsi gives two successive discounts of $10$ $\%$ and $25$ $\%$. While coke sells it by giving two successive discounts of $15$ $\%$ and $20$ $\%$. What is the ratio of their marked price?

maths money math different discounts successive discounts problems on discounts

  1. $143 : 144$

  2. $19 : 11$

  3. $136 : 135$

  4. $73 : 77$

Show answer
Correct Option: C
Explanation:

Let the selling price of the cold drink is Rs. $100$

Pepsi gives two successive discount $10\%$ and $25\%$ 
Then selling price after first discount: 
S.P $=100-100\times \dfrac{10}{100}$
S.P $=100-10=$ Rs. $90$
Selling price after second discount:
S.P $=90-90\times \dfrac{25}{100}$
S.P $=90-22.5=$ Rs. $67.5$
Coke gives two successive discount $15\%$ and $20\%$.
Then selling price after first discount
S.P $=100-100\times \dfrac{15}{100}$
S.P $=100-15=$ Rs. $85$
Selling price after second discount:
S.P $=85-85\times \dfrac{20}{100}$
$S.P=85-17=$Rs. $68$
Ratio of the S.P$=68:67.5$
$=680:675$
$=136:135$

Jebetha, has a mobile phone with price tag Rs. $1945$0. The shopkeeper given two successive discounts of $20\%$ and $40\%$. What is the selling price of the phone?

maths money math different discounts successive discounts problems on discounts

  1. Rs. $9336$

  2. Rs. $9330$

  3. Rs. $9430$

  4. Rs. $9654$

Show answer
Correct Option: A
Explanation:

Listed Price of mobile phone $=$ Rs. $19450$

Successive discounts given are $20\%$ and $40\%$

$\Rightarrow$ Selling price of the phone $= \dfrac{100-20}{100} \times \dfrac{100-40}{100} \times 19450$
                                                  $=$ Rs. $9336$

The marked price of a t-shrit is Rs. $2000$. A shopkeeper offers $20\%$ discount on this t-shirt and then again offers $40\%$ discount on the new price. How much will you have to pay, finally?

maths money math different discounts successive discounts problems on discounts

  1. $560$

  2. $660$

  3. $860$

  4. $960$

Show answer
Correct Option: D
Explanation:

Total discount of $20\%$ and $40\% =$ $20+40-\dfrac{800}{100}=52$ $\%$
Discount $= 52\%$ of marked price
$=\dfrac{52}{100}\times 2000=1040$
Selling price $=$ marked price $-$ discount
$= 2000 - 1040 =$ Rs. $960$

Find the single equivalent discount to three successive discount of $10\%, 20\%$ and $30\%$.

maths money math different discounts successive discounts problems on discounts

  1. $50\%$

  2. $49.6\%$

  3. $23.5\%$

  4. $10\%$

Show answer
Correct Option: B
Explanation:

First total discount of $10\%$ and $20\%$ $=$ $10+20-\dfrac{200}{100}=28\%$
Secondly total discount of $28\%$ and $30\% =$ $28+30-\dfrac{840}{100}=49.6\%$
Therefore, the single equivalent discount to three successive discount of $10\%, 20\%$ and $30\% = 49.6\%$.

The original price of a music CD is Rs. $500$. A shopkeeper offers $10\%$ discount on this music CD and then again offers $20\%$ discount on the new price. How much will you have to pay, finally?

maths money math different discounts successive discounts problems on discounts

  1. $160$

  2. $260$

  3. $360$

  4. $460$

Show answer
Correct Option: C
Explanation:

$\Rightarrow$  The original price of CD is $Rs.500$

$\Rightarrow$  New price of CD after $10\%$ discount = $Rs.500-Rs500\times \dfrac{10}{100}=Rs.500-Rs.50=Rs.450$
$\Rightarrow$  Shopkeeper again offers $20\%$ discount on new price of CD.
$\Rightarrow$  So, final price of CD = $Rs.450-Rs.450\times \dfrac{20}{100}=Rs.450-Rs.90=Rs.360$

A trader marks his goods at $30\%$ above the cost price and allows a discount of $10\%$. What is his selling price?

maths money math different discounts successive discounts problems on discounts

  1. $117$

  2. $120$

  3. $99$

  4. $59.45$

Show answer
Correct Option: A
Explanation:

Let the cost price be Rs. $100$

Then, marked price $=$ Rs. $130$
Discount $=10\%$ of the marked price
$=10\%$ of $130$
$=\dfrac {1013}{100}\times 130$
$=13$
Selling price $=$ Marked price $-$ Discount
$=130-13$
$=117$
Therefore, the selling price for his goods is Rs. $117$.

The series of $30$%, $20$% and $10$% is equivalent to a single discount$=........$

maths money math different discounts successive discounts problems on discounts

  1. $49.6$%

  2. $50$%

  3. $51.6$%

  4. $50.4$%

Show answer
Correct Option: A
Explanation:

$100\times (\cfrac{70}{100})\times (\cfrac{80}{100})\times (\cfrac{90}{100})=\cfrac{7\times 8\times 9}{10}=\cfrac{7\times 72}{10}=50.4$
$100-50.4=49.6$