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Multiple choice maths money math different discounts successive discounts problems on discounts

Find the successive discount equivalent to $10\%$ and $5\%$.

  1. $14.5\%$
  2. $15\%$
  3. $15.5\%$
  4. $16\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\Rightarrow$  Let A = First discount = 10% and B = Second discount = 5%.

$\Rightarrow$  Equivalent Discount = $(A+B)-(\dfrac{A\times B}{100})$

$\Rightarrow$  Equivalent Discount = $(10+5)-(\dfrac{10\times 5}{100})=15-0.5=14.5\%$

Multiple choice maths money math different discounts successive discounts problems on discounts

Successive discounts of $12\dfrac {1}{2}$% and $7\dfrac {1}{2}$% are given on the marked price of a cupboard. If the customer pays $Rs. 2,590$, then what is the marked price?

  1. $Rs. 3,108$
  2. $Rs. 3,148$
  3. $Rs. 3,200$
  4. $Rs. 3,600$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marked price be $Rs. 100$
Price after $1st$ discount $= Rs. 87\dfrac {1}{2}$
Price after $2nd$ discount $= Rs. 87\dfrac {1}{2} - 7 \dfrac {1}{2}$% of $87\dfrac {1}{2}$
$\therefore$ Customer pays $= 92\dfrac {1}{2}$% of $Rs. 87\dfrac {1}{2}$
When the customers pay $Rs. 2590$, then the marked price
$= \dfrac {2590\times 100}{92\dfrac {1}{2} \times 87\dfrac {1}{2}} = Rs. 3,200$.

Multiple choice maths money math different discounts successive discounts problems on discounts

A shopkeeper marked his price for $Rs. 150$. He pays a customer $10$% discount and second discount $5$%. What does he get?

  1. $Rs. 122.50$
  2. $Rs. 125$
  3. $Rs. 128.25$
  4. $Rs. 172.50$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Marked price$=Rs.\ 150$

First discount$=10\%$
Hence, price after first discount$=150-\dfrac{10}{100}\times 150=150-15=Rs.\ 135$.
Now, second discount$=5\%$
Hence, price after second discount$=135-5\%\ of\ 135=135-6.75=Rs.\ 128.25$
So, he get $Rs.\ 128.25$

Multiple choice maths money math different discounts successive discounts problems on discounts

After getting three equal successive discounts percentages over a marked price of Rs. $1000$ a customer has to pay $729$ for an article. What is the rate of each of the successive discounts ?

  1. $5$%
  2. $10$%
  3. $15$%
  4. $20$%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the discount price be$x$.

After the first discount, price$=(1-x)1000$
After the second discount, price$=(1-x)(1-x)1000=(1-x)^21000$
After the third discount, price$=(1-x)(1-x)(1-x)1000=(1-x)^3 1000$
According to the question 
$(1-x)^3 1000=729\(1-x)^3=729/1000\(1-x)=9/10\x=1/10$
Required percentage is $(1/10)\times 100=10\%$.

Multiple choice maths money math different discounts successive discounts problems on discounts

Find a single discount equivalent to following successive discounts : 
 of 20%, 10% and 5% in percent is

  1. $30$%
  2. $35$%
  3. $32$%
  4. $40$%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$ Assume MP =Rs 100$

After successive discounts $= 100 [1-\dfrac{20}{100}] [1-\dfrac{5}{100}][1-\dfrac{10}{100}]$

Discount from Marked Price $=100-68.4 =31.6$

% Discount $=\dfrac{31.6}{100} \times 100 =31.6$


Multiple choice maths money math different discounts successive discounts problems on discounts

The price of a VCR is marked as $Rs12000$. If successive discounts of $15\%$, $10\%$ and $5\%$ be allowed, then at what price does a customer buy it?

  1. $Rs.\ 8400$
  2. $Rs.\ 8721$
  3. $Rs.\ 8856$
  4. $None\ of\ these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The marked price of VCR is $Rs.12000.$


Selling price = $85\%$ of $90\%$ of $95\%$ of $Rs.12000$

Selling price = $\dfrac{85}{100}\times \dfrac{90}{100}\times \dfrac{95}{100}\times 12000$

$\therefore$  Selling price $=Rs.8721$

$\therefore$  The price of VCR a customer buy is $Rs.8721.$

Multiple choice maths money math different discounts successive discounts problems on discounts

A refrigerator is offered for sale at Rs. 250.00 less successive discounts of 20% and 15%. The sale price of the refrigerator is :

  1. 35% less than Rs. 250.00

  2. 65% of Rs. 250.00

  3. 77% of Rs. 250.00

  4. 68% of Rs. 250.00

  5. none of these.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sale Price = $250\left( 1-\cfrac { 20 }{ 100 }  \right) \left( 1-\cfrac { 15 }{ 100 }  \right) =250\left( \cfrac { 80 }{ 100 }  \right) \left( \cfrac { 85 }{ 100 }  \right) =250\left( \cfrac { 68 }{ 100 }  \right) $

$\therefore$ Sale Price = 68% of Rs. 250.00

Multiple choice maths money math different discounts successive discounts problems on discounts

A shopkeeper allows two successive discounts of 10% and 15% on his articles. If he gets Rs. 459 for an article, find it, marked price.

  1. Rs. $120$
  2. Rs. $300$
  3. Rs. $600$
  4. Rs. $800$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the Marked price be $ x $
After $ 10 $ % discount, the Selling price becomes $ 0.9 x$
After further $ 15 $ % discount, the selling price becomes $ 0.85 \times 0.9x = 0.765x $

Given, SP $ = Rs 459 $
$ => 0.765 = Rs 459 $
$ => x = Rs  600 $

Hence, marked price is $ Rs  600 $