Comparing Quantities Test

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Comparing Quantities Test - 38

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Weekly Quiz Competition

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 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 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

Harry goes to a shop to buy a watch costing Rs. 1404, including sales tax of 8$$\%$$. He asks the shopkeeper to reduce the price of the watch so that he can save an amount equal to the sales tax. The reduction in the price of the watch is _____ .

A
$$Rs.\ 108$$

B
$$Rs.\ 104$$

C
$$Rs.\ 112.32$$

D
$$\text{None of these}$$

Solution

Let the original cost of the watch be $$Rs.\ x$$.
Given that, after a sales tax of $$8\%$$, the price of the watch is $$Rs.\ 1404$$
$$\therefore \ x+\dfrac{8}{100}\times x=1404$$

$$\Rightarrow \dfrac{108}{100}\times x=1404$$

$$\Rightarrow x=\dfrac{1404}{1.08}=1300$$

Hence, the sales tax on the watch is $$=1404-1300=Rs.\ 104$$.
Harry saves an amount equal to the sales tax.

Thus, Harry saves $$Rs.\ 104$$.
Question 5
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
$$\Rightarrow \frac{13}{10}\times\frac{1}{100}\times\frac{4}{5}\times x=910$$
$$\Rightarrow x = \left(\frac{910\times10\times100\times5}{13\times4}\right)=87500$$
Question 6
1 / -0

A shopkeeper sells $$25$$ articles at $$Rs. 45$$ per article after giving $$10\%$$ discount and earns $$50\%$$ profit If the discount is not given the profit gained is

A
$$60\%$$

B
$$\displaystyle 60\frac{2}{3}\%$$

C
$$66\%$$

D
$$\displaystyle 66\frac{2}{3}\%$$

Solution

S.P. of $$1$$ article= $$Rs. 45$$.
Let marked price of each article be $$Rs.x$$
Then,S.P. = $$90\%\ of\ Rs.x$$
$$\Rightarrow 45=\dfrac{90x}{100}$$
$$\Rightarrow x=\dfrac{45\times 100}{90}$$
$$\Rightarrow x=50 $$

Profit earned =$$50\%$$
$$C.P=Rs.\dfrac{100}{150}\times 45$$
$$C.P=Rs.30 $$

If no discount given,then
$$Profit=Rs.(50-30)=Rs.20$$
Profit Percentage=$$\dfrac{20}{30}\times 100\%=66\dfrac{2}{3}\%$$
Question 7
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 8
1 / -0

If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25% then find the cost of production of a table the retail price of which is Rs 1265?

A
600

B
800

C
700

D
900

Solution

Let the cost of production of the table be Rs
Then ,125% of 115% of 110% of x=1265
$$\Rightarrow \frac {125}{100}\times \frac{115}{100}\times \frac{110}{100}\times x=1265$$
$$x=\frac{1265\times 100\times 100\times 100}{125\times 115\times 110}$$
$$x=800 Rs.$$
Question 9
1 / -0

A trader purchases 70 kg of tea at Rs. 15 per kg and 30 kg of tea at Rs. 18.50 per kg. If the packing charges are 2 percent, then at what price he must sell the mixture of two to gain 15%?

A
Rs. 18.82 per kg

B
Rs. 18 per kg

C
Rs. 18.50 per kg

D
Rs. 17.80 per kg

Solution

Cost of 70 kg of tea at Rs. 15 per kg $$= 70\times 15=1050 Rs.$$
Cost of 30 kg of tea at Rs. 18.50 per kg $$=30\times 18.5 = 555Rs.$$.
total cost $$=1050 Rs.+555 Rs.=Rs. 1605 $$

Selling price includes packing charges are 2 percent and gain 15%:
Therefore,
$$S= Cost price\times ({1+\dfrac{2}{100}})\times ({1+\dfrac{15}{100}})$$
$$S=1605\times 1.02\times1.15$$
$$S=Rs. 1882.67$$
total weight $$=70+30=100kg$$
Selling price per kg $$=\dfrac{1882.67}{100}= 18.82Rs.$$ per kg

Answer (A) is correct.
Question 10
1 / -0

Gauri went to the stationery and bought things worth Rs 25 out of which 30 paise went on sales tax on taxable purchases If the tax rate was 6% then what was the cost of the tax free items?

A
Rs 15

B
Rs 15.70

C
Rs 19.70

D
Rs 20

Solution

Let the amount of taxable purchases be $$\mathrm{Rs}.x$$
Given, 6% of $$ x =30\ \mathrm{paisa}= \frac{30}{100}\mathrm{Rs}$$
$$\Rightarrow x =\left(\frac{30}{100}\times\frac{100}{6}\right)=5$$
$$\therefore$$ Cost of tax free items $$ = \mathrm{Rs}. \left[25 - \left(5 + 0.30\right)\right] = \mathrm{Rs}.19.70$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 38

Result

Comparing Quantities Test - 38

Score

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SHARING IS CARING

Question 1

$$Rs.\,70$$

$$Rs.\,50$$

$$Rs.\,100$$

Data insufficient

Solution

Question 2

Rs. 236

Rs. 240

Rs. 248

Rs. 252

Solution

Question 3

10%

0%

30%

20%

Solution

Question 4

$$Rs.\ 108$$

$$Rs.\ 104$$

$$Rs.\ 112.32$$

$$\text{None of these}$$

Solution

Question 5

Rs 78500

Rs 80000

Rs 82500

Rs 87500

Solution

Question 6

$$60\%$$

$$\displaystyle 60\frac{2}{3}\%$$

$$66\%$$

$$\displaystyle 66\frac{2}{3}\%$$

Solution

Question 7

Rs. 850

Rs. 890

Rs. 930

Rs. 950

Solution

Question 8

600

800

700

900

Solution

Question 9

Rs. 18.82 per kg

Rs. 18 per kg

Rs. 18.50 per kg

Rs. 17.80 per kg

Solution

Question 10

Rs 15

Rs 15.70

Rs 19.70

Rs 20

Solution

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