Comparing Quantities Test

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Comparing Quantities Test - 34

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Question 1
1 / -0

A scientific calculator is available at Universal shop in Hazratganz at $20\%$ discount and the same is available at only $15\%$ discount at Bhootnath market. Pooja has just sufficient amount of $Rs.\,800$ to purchase it at Universal shop, Hazratganz. What is the amount that Pooja has less than the required amount to purchase it at Bhootnath?

A
$Rs.\,70$

B
$Rs.\,50$

C
$Rs.\,100$

D
Data insufficient

Solution

Let cost of calculator is $Rs. 100$
calculator is available at Universal shop in Hazratganj at $20\%$ discount then sell cost $=100-20=80\ RS$
Pooja paid $Rs. 800$ at Universal shop
So actual cost of calculator $=\dfrac{800}{80}\times 100= 1000$ Rs
same as 15% discount at Bhootnath market
Then selling price of calculator at bhootnath market $=\dfrac{85}{100}\times 1000= 850$ Rs
amount that Pooja has less paid $=850-800=Rs.50$
Question 2
1 / -0

The list price of a slipper is Rs. 160. The discount offered is 10%.Find the selling Price of a slipper.

A
144

B
124

C
100

D
134

Solution

List price of slipper $=160$
discount $=10\%$
$10\%$ of $160=\cfrac{10}{100}\times160=16$
Selling Price of slipper aftter discount= $160-16=144$
Question 3
1 / -0

If the makeup percentage of an article is 50% and discount is also 20%, then the profit percentage will be ..........

A
10%

B
0%

C
30%

D
20%

Solution

Let us assume cost price = $Rs 100$
Makeup percentage of an article = $50%$
Marked price = $100+100 \times \dfrac{50}{100}=150$
Discount = $20%$

$\text{Selling price}$ = $\text{Marked price}-\text{Marked price} \times \text{Discount}$ %

$S=150-150\times \dfrac{20}{100}$

$S=150-30=120$

$\text{Profit Percentage}$ = $\dfrac{(\text{Selling Price - Cost Price})}{\text{cost price}}$ $\times 100$

$P$ %= $\dfrac{(120-100)}{100} \times 100$

P %= $20$ %

Answer (D) $20$ %
Question 4
1 / -0

By selling a book for Rs. 10, the publisher loses $\displaystyle \frac{1}{11}$ of what it costs him. His cost price is ....

A
Rs. 9

B
Rs. 10

C
Rs. 11

D
Rs. 12

Solution

Let's assume cost price $=x$
Selling price $=\text{Rs.}\ 10$
Loss $=\dfrac{1}{11}.x$
$\text{Cost Price=Selling Price + Loss}$
$x=10+\dfrac { x }{ 11 }$

$\dfrac { 10x }{ 11 } =10$
$x=\text{Rs.}\ 11$
Answer (C) Rs. 11
Question 5
1 / -0

Samant brought microwave oven and paid 10% less than the original price. He sold it with 30% profit on the price he had paid. What percentage of profit did Samant earn on the original price?

A
17%

B
20%

C
27%

D
32%

Solution

Lets assume original price of the microwave oven = Rs. 100
So, buying price for samant = Rs. 90
Profit $\% = 30\% = \dfrac{p\times100}{Cost price}$
$30\% = \dfrac{p\times100}{90}$
${30\times90}{100}=p$
$profit=27$
Selling price =90+27=117 Rs
Profit =117-100=17 Rs
profit $\%=\dfrac{17\times100}{100} = 17%$
Question 6
1 / -0

Latika bought a radio set and spent Rs. 110 on its repairs. She then sold it to Garima at 20% profit, Garima sold it to Megha at a loss of 10% and Megha sold it for Rs. 1188 at a profit of 10%. What is the amount for which Latika bought the radio set?

A
Rs. 850

B
Rs. 890

C
Rs. 930

D
Rs. 950

Solution

Let's assume the amount for which Latika bought the radio set=x
So, As per question,
Latika's selling price=(x+110)*1.20
Megha's buying price=(x+110)*1.20*0.90
Megha's selling price= $(x+110)\times 1.20\times 0.90\times 1.10=1188$
$1.19x+130.68=1188$
$x=888.50$
Answer (B) Rs. 890
Question 7
1 / -0

The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the charge paid are Rs, 204. What will a person have to pay for travelling a distance of 30 km?

A
Rs. 236

B
Rs. 240

C
Rs. 248

D
Rs. 252

Solution

Let's take fixed charge=F
charge of the distance covered=x
So, As per question,
$F+16x=156$ .................eq1
$F+24x=204$ .......................eq2
Eq2-eq1
$8x=48$
$x=6$
from eq 1
$F=156-96=60$
Charge a distance of 30 km=
$F+30x=60+30*6=240Rs$
Answer (B) Rs. 240
Question 8
1 / -0

A person has enough money to buy $25$ cycles worth $Rs.\,500$ each. How many cycles will the person be able to buy, if each cycle now costs $Rs.\,125$ more ?

A
$40$ cycles

B
$70$ cycles

C
$20$ cycles

D
$65$ cycles

Solution

Total money=25*500=12500
New cost of cycle=500+125=625
No of cycle person is able to buy
$N=\frac { Total\quad money }{ cost\quad of\quad 1\quad cycle }$
$N=\frac { 12500 }{ 625 } =20$
Answer (C) 20
Question 9
1 / -0

A trader marks his goods at 20% above the cost price. He sold half the stock at the marked price one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is

A
2%

B
4.5%

C
13.5%

D
15%

Solution

Let the $CP$ be $x$
$MP=120\%\times x=1.2x$
Gain while selling half stocks of goods $=0.5(1.2x-x)=0.1x$
Gain while selling remaining one quarter stocks of goods $=0.25[(80\%\times 1.2x)-x]=-0.01x$
Gain while selling remaining stocks of goods $=0.25[(60\%\times 1.2x)-x]=-0.07x$
Net gain $=(0.1-0.01-0.07)x=0.02x$
Gain $\%=\cfrac{gain}{CP}\times 100$
$\implies\cfrac{0.02x}{x}\times 100=2\%$
Question 10
1 / -0

A tempo is insured to the extent of $\displaystyle \frac{4}{5}$ of its original value. If the premium on it at the rate of 1.3 percent amounts to Rs 910 the original value of the tempo is

A
Rs 78500

B
Rs 80000

C
Rs 82500

D
Rs 87500

Solution

Let the original value of the tempo be Rs. x. Then,
1.3 Percent of 4/5 of x = 910
$\Rightarrow \frac{13}{10}\times\frac{1}{100}\times\frac{4}{5}\times x=910$
$\Rightarrow x = \left(\frac{910\times10\times100\times5}{13\times4}\right)=87500$

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Comparing Quantities Test - 34

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Comparing Quantities Test - 34

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SHARING IS CARING

Question 1

Rs. 70Rs.\,70Rs.70

Rs. 50Rs.\,50Rs.50

Rs. 100Rs.\,100Rs.100

Data insufficient

Solution

Question 2

144

124

100

134

Solution

Question 3

10%

0%

30%

20%

Solution

Question 4

Rs. 9

Rs. 10

Rs. 11

Rs. 12

Solution

Question 5

17%

20%

27%

32%

Solution

Question 6

Rs. 850

Rs. 890

Rs. 930

Rs. 950

Solution

Question 7

Rs. 236

Rs. 240

Rs. 248

Rs. 252

Solution

Question 8

404040 cycles

707070 cycles

202020 cycles

656565 cycles

Solution

Question 9

2%

4.5%

13.5%

15%

Solution

Question 10

Rs 78500

Rs 80000

Rs 82500

Rs 87500

Solution

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$Rs.\,70$

$Rs.\,50$

$Rs.\,100$

$40$ cycles

$70$ cycles

$20$ cycles

$65$ cycles