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

$$Rs.\,70$$

$$Rs.\,50$$

$$Rs.\,100$$

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

$$40$$ cycles

$$70$$ cycles

$$20$$ cycles

$$65$$ 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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