Comparing Quantities(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

COMPARING QUANTITIES MCQs

Total Questions : 120 | Page 1 of 12 pages

Question 1. The cost price of 20 articles is the same as the selling price of x articles.The value of x is (given profit =20%).

Discuss Question

:
Let C.P. of each article be Rs. 1
=> C.P. of x articles

Rs.x.
S.P. of x articles

Rs. 20.
Profit

Rs.

(20 - x).

\frac{20 - x}{x} \times 100

25.
2000 - 100x

25x.
125x

2000.

\Rightarrow

16.

Question 2.

\frac{125}{625}

is equivalent to _____.

Discuss Question

Answer: Option B. -> 15
:
B

\frac{125}{625}

\frac{1}{5}

[Divide both numerator and denominator by 125]

Question 3. 20% of x = 100 Then x = ?
___

Discuss Question

:
0.2x = 100
⇒ x=

\frac{100}{0.2}

\frac{1000}{2}

= 500

Question 4. Ashin invested an amount of Rs. 13,900 divided into two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B (in rupees)?
___

Discuss Question

:
Let the sum invested in Scheme A be Rs.xand that in Scheme B be Rs. (13900 -x).
Then

\frac{14 \times x \times 2}{100}

\frac{(13900 - x) \times 11 \times 2}{100}

3508

\frac{28 x + 13900 \times 22 - 22 x}{100}

= 3508

28 x + 13900 \times 22 - 22 x = 3508 \times 100

28x- 22x= 350800 - (13900 ×22)
6x= 45000
x= 7500
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400

Question 5.

\frac{15}{25}

is equivalent to ____.

Discuss Question

Answer: Option C. -> 35
:
C

\frac{15}{25}

\frac{3}{5}

. [By dividing both numerator and denominator by 5]

Question 6. The cost price of a pen is ₹ 12. But the shopkeeper sold it for ₹ 18. What is the percentage of profit obtained by the shopkeeper?

Discuss Question

Answer: Option B. -> 50%
:
B
Profit = S.P - C.P = 18 - 12 = ₹ 6
Profit percentage

= \frac{P r o f i t}{C . P} \times 100

= \frac{6}{12}

× 100 = 50%

Question 7.

I n a n e n t r a n c e e x a m t h e r e w e r e f o u r s e c t i o n s e a c h o f 50 m a r k s . M a r k s s e c u r e d b y S a t y a m i n e a c h s e c t i o n i s s h o w n b e l o w

\begin{matrix} S u b j e c t & A p t i t u d e & G e n e r a l M a t h e m a t i c s & G e n e r a l A w a r e n e s s & E n g l i s h M a r k s & 45 & 40 & 35 & 40 \end{matrix}

What is the percentage marks scored by him in each section?

95%, 80%, 70%, 80%
95%, 85%, 75%, 85%
90%, 80%, 70%, 80%
95%, 85%, 70%, 85%

Discuss Question

Answer: Option C. -> 90%, 80%, 70%, 80%
:
C
Percentagemarks scored in Aptitude

= \frac{45}{50} \times 100 = 90

%
Percentagemarks scored in General Mathematics

= \frac{40}{50} \times 100 = 80

%
Percentagemarks scoredin General Awareness

= \frac{35}{50} \times 100 = 70

%
Percentagemarks scored in English

= \frac{40}{50} \times 100 = 80

Question 8. Are the ratios 2:5 and 10:15 equivalent? (Yes/No)
__.

Discuss Question

:
Here, we have to check whether

\frac{2}{5}

is equal to

\frac{10}{15}

\frac{2}{5}

\frac{10}{15}

; By cross-multiplication, we get 30 = 50. This is not true.
Therefore,ratios 2:5 and 10:15 not equivalent.

Question 9. Anita, Sunita, Ram and Raman scored 89, 87, 90 and 55 marks (out of 100) respectively in an exam. Who scored the maximum percentage and how much?

Ram, 90%
Anita, 89%
Ram, 9%
Anita, 99%

Discuss Question

Answer: Option A. -> Ram, 90%
:
A
For the given question, it is clear that marks scored by Ram is maximum.
Therefore, the percentage scored by him will be maximum.
Marks scored by Ram
=

\frac{90}{100}

We know, percentages are numerators of fractions with denominator 100.

∴

Percentage of Ram's marks =90%

Question 10. Rashi can travel 4 hours after having a Pizza, while Rashid can travel for 6 hours after having a pizza. How many more hours can Rashid travel than Rashi after having a Pizza? Express in terms of percentage.
[2 MARKS]

Discuss Question

:
Formula: 1 Mark
Answer: 1 Mark
Given that:
Rashi can travel for 4 hours after having a pizza.
Rashid can travel for 6 hours after having a pizza.
Number of hours Rashid travels more after having a pizza = 6 - 4 = 2 hours
In terms of percentage, it is given by,