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Questions Related to maths

The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately the price of the article is

maths money math different discounts successive discounts problems on discounts

  1. Increased by 10%

  2. Increased by 5.3%

  3. Decreased by 3%

  4. Decreased by 5.3%

Show answer
Correct Option: B
Explanation:

Let the original cost of the article be Rs.$x$ 

Raising it by 30% M.P. $\displaystyle =x\times \frac{130}{100}=Rs.\frac{13x}{10}$

After allowing two discounts each of 10% the price of the article $\displaystyle =\frac{13x}{10}\times \frac{90}{100}\times \frac{90}{100}=Rs.\frac{1053x}{1000}$

Per cent increase in the cost of the article $\displaystyle =\frac{\left ( \frac{1053x}{1000} \right )}{x}\times 100=\frac{53x}{1000x}\times 100=5.3\%$

The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it ?

maths money math different discounts successive discounts problems on discounts

  1. Rs. 8400

  2. Rs. 8721

  3. Rs. 8856

  4. None of these

Show answer
Correct Option: B
Explanation:

Marked price$=$Rs $12000 .$
First discount =$15$%
Then 15% of 12000=$\frac{15}{100}\times 12000=$Rs $1800  .$
Price of VCR after first discount=$12000-1800=$Rs $10200 $
Second discount=$10$%
Then 10% of 10200=$\frac{10}{100}\times 10200=$Rs $1020  .$
Price of VCR aftr second discount=$10200-1020=$ Rs $9180  .$
Third discount=5%
Then 5% of 9180=$\frac{5}{100}\times 9180=$Rs $ 459 $
Price of VCR that customer pay=$9180-459=$Rs $8721 $

Two shopkeepers announce the same price of $Rs. 700$ for a sewing machine. The first offers successive discounts of $30%$ and $6%$ while the second offers successive discounts of $20%$ and $16%$. The shopkeeper that offers better discount, charges ........ less than the other shopkeeper.

maths money math different discounts successive discounts problems on discounts

  1. $Rs. 9.80$

  2. $Rs. 16.80$

  3. $Rs. 22.40$

  4. $Rs. 36.40$

Show answer
Correct Option: A
Explanation:

Price of sewing machine=700
First shopkeeper offers 30% and 6% discount
Then$\frac{30}{100}\times \frac{6}{100}\times 700=12.60$
Second shopker offers 20% and 16% discount
Then$\frac{20}{100}\times \frac{16}{100}\times 700=22.40$
Difference of discount=$22.04-12.06=9.80  Rs.$
Hence ,Second shopkeeper offers  better discount, charges 9.80  less than the first  shopkeeper

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. $72.20$

Show answer
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 $30\% = 49.6\%$.