Comparing Quantities Test

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Comparing Quantities Test - 60

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Weekly Quiz Competition

Question 1
1 / -0

The market price of a mixer is $$2300$$ rupees. A customer purchased it for $$Rs.1955$$. Find percentage of discount offered to the customer.

A
$$67.26\%$$

B
$$10.26\%$$

C
$$55.26\%$$

D
$$13.26\%$$

Solution

Let the Discount amount be $$x$$,

Market price $$=Rs. \ 2300$$

Selling price $$=Rs.\ 1995$$

Market price $$=$$ selling price$$(1-\dfrac{x}{100})$$

$$\Rightarrow 2300-\dfrac{x}{100}\times2300=1995$$

$$\Rightarrow 2300-1995=23x$$

$$\Rightarrow x=13.26$$

Hence, discount percentage $$=13.26$$ %
Question 2
1 / -0

$$45 \% \text { of } 1500 + 35 \% \text { of } 1700 = ? \% \text { of } 3175$$

A
30

B
35

C
40

D
50

Solution

$$45\%$$ of $$1500$$ is given as

$$\dfrac{45}{100}\times 1500$$

$$\implies 45\times 15=675$$

$$35\%$$ of $$1700$$ is given as

$$\dfrac {35}{100}\times 1700$$

$$\implies 35\times 15=595$$

Total is $$675+595=1270$$

Let the percent be $$x$$

$$\implies \dfrac x{100}\times 3175=1270$$

$$\implies x=\dfrac {1270}{3175}\times 100$$

$$\implies x=40\%$$
Question 3
1 / -0

If a banana's cost is $$Rs. 1.25$$ and apple's cost is $$Rs. 1.75$$ what will be the cost of $$2$$ Dozen of Banana and $$3$$ Dozen of apple?

A
$$Rs. 93$$

B
$$Rs. 83$$

C
$$Rs. 85$$

D
$$Rs. 70$$

Solution

$$\because$$ Cost of one banana $$=Rs.1.25$$
$$\therefore 2$$ dozens banana's cost $$=24\times 1.25=Rs.30$$

$$\because$$ One apple's cost $$=Rs.1.75$$
$$\therefore 3$$ dozens banana's cost $$=36\times 1.75=Rs.63$$

Total cost $$=63+30=Rs.93$$

Hence, option (A) is the correct option
Question 4
1 / -0

If market price of a article is $$Rs.1900$$, and selling price is $$Rs.1750$$, then find the discount percentage.

A
$$9.78\%$$

B
$$5.09\%$$

C
$$6.89\%$$

D
$$7.89\%$$

Solution

Given,
Marked price $$=Rs.1900$$
Selling price $$=Rs.1750$$

$$Discount\%=\dfrac{Marked\ Price -\ Selling\ Price}{Marked \ price}\times 100\%$$

$$\Rightarrow Discount\%=\dfrac{1900 -1750}{1900}\times 100\%$$

$$\Rightarrow Discount\%=\dfrac{150}{1900}\times 100\%$$

$$\Rightarrow Discount\%=7.89 $$ %
Question 5
1 / -0

If $$A$$ is $$150$$% of $$B$$ then $$B$$ is what percent of $$A+B$$?

A
$$30$$%

B
$$35$$%

C
$$40$$%

D
$$45$$%

Solution

$$A=\dfrac{150}{100}B$$

$$A+B=\dfrac{150}{100}B+B=\dfrac{250}{100}B=2.5B$$

B is $$\dfrac{B}{A+B}\% of A+B$$

$$\dfrac{1}{2.5}\times100$$

$$=40\%$$
Option C is correct
Question 6
1 / -0

$$60 \% \text { of } 264$$ is the same as-

A
$$10 \% \text { of } 44$$

B
$$15 \% \text { of } 1056$$

C
$$30 \% \text { of } 132$$

D
$$17 \% \text { of } 544$$

Solution

$$60\% \ of \ 264 =\dfrac{60}{100} \times 264 =158.4$$

Also, $$15\% \ of \ 1056 =\dfrac{15}{100} \times 1056 = 158.4$$

Hence, $$60\% \ of \ 264 = 15\% \ of \ 1056$$
Question 7
1 / -0

Ram purchases a chair at $$Rs.70$$ and spent $$Rs.17$$ on its repair and $$50$$ paise on cartage. If he sold the chair at $$Rs.100$$ then his approximate margin of profit will be ?

A
$$13.30$$%

B
$$11.25$$%

C
$$12.5$$%

D
$$14.3$$%

Solution

$$Profit ~\%=\dfrac{SP-CP}{CP}\times100$$

$$=\dfrac{100-87.5}{87.5}\times100$$

$$=14.3\%$$
Question 8
1 / -0

What would be the $$C.I$$ obtained on an amount of $$12500$$ at the rate of $$12$$ $$p.c.p.a.$$ after $$2$$ years?

A
Rs. $$3180$$

B
Rs. $$3360$$

C
Rs. $$3540$$

D
Rs. $$3720$$

Solution

The formula of for compound interest is
$$C.I. = P\left( 1+\cfrac{r}{100} \right)^{n}-P$$
$$=12,500 \left( 1+\cfrac{12}{100} \right)^{2}-12500$$
$$= 12500\times \frac{112}{100}\times \frac{112}{100}-12500$$
$$=3180$$
Question 9
1 / -0

If $$11$$ Mango are bought for $$Rs.10$$ and sold at $$10$$ for $$Rs.11$$. What was Gain or Loss $$\%$$?

A
$$24\%$$

B
$$21\%$$

C
$$26\%$$

D
$$25\%$$

Solution
Question 10
1 / -0

The cost price of $$20$$ articles is the same as the selling price of X articles. If the profit is $$25$$%, then the value of X is :

A
$$Rs.15$$

B
$$Rs.16$$

C
$$Rs.18$$

D
$$Rs.25$$

Solution

Let the Cost price for one article be $$CP$$

The Cost price of $$20$$ articles is $$20CP$$

The Selling price be $$SP$$

The Selling price is $$X\times SP$$

According to the question

$$20CP=X\times SP\cdots(1)$$

The profit is $$25\%$$

$$\implies $$ Profit is $$\dfrac{25}{100}\times CP=\dfrac {CP}4$$

$$\implies SP-CP=\dfrac{CP}4$$

$$4SP-4CP=CP$$

$$4SP=5CP\cdots(2)$$

Dividing $$(1)$$ with $$(2)$$

$$\dfrac{20CP}{5CP}=\dfrac{X\times SP}{4SP}

$$\implies 4=\dfrac{X}4$$

$$\implies X=16$$

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 60

Result

Comparing Quantities Test - 60

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SHARING IS CARING

Question 1

$$67.26\%$$

$$10.26\%$$

$$55.26\%$$

$$13.26\%$$

Solution

Question 2

30

35

40

50

Solution

Question 3

$$Rs. 93$$

$$Rs. 83$$

$$Rs. 85$$

$$Rs. 70$$

Solution

Question 4

$$9.78\%$$

$$5.09\%$$

$$6.89\%$$

$$7.89\%$$

Solution

Question 5

$$30$$%

$$35$$%

$$40$$%

$$45$$%

Solution

Question 6

$$10 \% \text { of } 44$$

$$15 \% \text { of } 1056$$

$$30 \% \text { of } 132$$

$$17 \% \text { of } 544$$

Solution

Question 7

$$13.30$$%

$$11.25$$%

$$12.5$$%

$$14.3$$%

Solution

Question 8

Rs. $$3180$$

Rs. $$3360$$

Rs. $$3540$$

Rs. $$3720$$

Solution

Question 9

$$24\%$$

$$21\%$$

$$26\%$$

$$25\%$$

Solution

Question 10

$$Rs.15$$

$$Rs.16$$

$$Rs.18$$

$$Rs.25$$

Solution

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