Dear Readers,
Mahendras has started special quizzes for SBI / RBI Main Exam so that you can practice more and more to crack the examination. This SBI / RBI Main Exam quiz series will mold your preparations in the right direction and the regular practice of these quizzes will be really very helpful in scoring good marks in the Examination. Here we are providing you important question of Quantitative aptitude for SBI / RBI Main Exam.
Q-(1-5) What should come in place of the question mark (?) in the following question?
рдиिрдо्рди рдк्рд░рд╢्рди рдоें рдк्рд░рд╢्рдирд╡ाрдЪрдХ рдЪिрди्рд╣ (?) рдХे рд╕्рдеाрди рдкрд░ рдХ्рдпा рдЖрдпेрдЧा ?
(1) 4900.48 = 24.7 × 15.5 × ?
(1) 19.2
(2) 11.6
(3) 10.5
(4) 12.8
(5) 14.4
(2) 566 × 35 × 8 = ?
(1) 154880
(2) 158480
(3) 158840
(4) 168480
(5) 168840
(3) [1652÷75×12]÷36=?2
(1) 7
(2) 9
(3) 11
(4) 13
(5) 17
(4) 338×?1/2=15210
(1) 2000
(2) 3000
(3) 2025
(4) 3025
(5) 5025
(5) [48×4–13×12]÷(25÷5×2)=?
(1) 3.8
(2) 6.4
(3) 3.4
(4) 3.6
(5) 4.8
Q-(6-10) In each of the following question, a question is followed by information given in two statement named as Quantity-I (Q1) and Quantity –II (Q2). You have to study the information and compare the value derived from Quantity-I and Quantity-II. Then answer -
рдиिрдо्рдирд▓िрдЦिрдд рдк्рд░рд╢्рдиों рдоें рдк्рд░рдд्рдпेрдХ рдк्рд░рд╢्рди рдХे рд▓िрдП рдХुрдЫ рд╕ूрдЪрдиा рдПрд╡ं рджो рдХрдерди рдкрд░िрдоाрдг- I (Q1) рдФрд░ рдкрд░िрдоाрдг- II (Q2) рдХे рд░ूрдк рдоें рджी рдЧрдпी рд╣ैं। рдЖрдк рдк्рд░рд╢्рди рд╕рд╣िрдд рд╕ूрдЪрдиा рдХा рдЕрдз्рдпрдпрди рдХрд░ рдкрд░िрдоाрдг- I рдФрд░ рдкрд░िрдоाрдг- II рд╕े рдк्рд░ाрдк्рдд рдоाрдиों рдХी рддुрд▓рдиा рдХीрдЬिрдпे рдФрд░ рдЙрдд्рддрд░ рджीрдЬिрдпे –
(6) Find the percentage of girls in the class this year.
Quantity I: This year the percentage of boys in the class is 60%.
Quantity II: Last year out of the 300 students, 50% was boys and this year the number of boys are increased by 10% but total students remains same.
рдЗрд╕ рд╡рд░्рд╖ рдХрдХ्рд╖ा рдоें рд▓рдб़рдХिрдпों рдХा рдк्рд░рддिрд╢рдд рдЬ्рдЮाрдд рдХीрдЬिрдпे ।
рдоाрдд्рд░ा I: рдЗрд╕ рд╡рд░्рд╖ рдХрдХ्рд╖ा рдоें рд▓рдб़рдХों рдХा рдк्рд░рддिрд╢рдд 60% рд╣ै।
рдоाрдд्рд░ा II: рдкिрдЫрд▓े рд╕ाрд▓ 300 рдЫाрдд्рд░ों рдоें рд╕े, 50% рд▓рдб़рдХे рдеे рдФрд░ рдЗрд╕ рд╡рд░्рд╖ рд▓рдб़рдХों рдХी рд╕ंрдЦ्рдпा рдоें 10% рдХी рд╡ृрдж्рдзि рд╣ुрдИ рд╣ै, рд▓ेрдХिрди рдХुрд▓ рдоिрд▓ाрдХрд░ рдЫाрдд्рд░ों рдХी рд╕ंрдЦ्рдпा рд╕рдоाрди рд╣ै।
(1) Quantity I > Quantity II
(2) Quantity I < Quantity II
(3) Quantity I = Quantity II
(4) Quantity I > Quantity II
(5) Quantity I < Quantity II
(7) What is the age of Anushika?
Quantity I: Anushika is 3 years younger than Tushar and the ratio of their ages is 7: 8.
Quantity II: Average age of N and Anushika is 25 years and N is 2 years older than Anushika.
рдЕрдиुрд╖िрдХा рдХी рдЙрдо्рд░ рдХ्рдпा рд╣ै?
рдоाрдд्рд░ा I: рдЕрдиुрд╖िрдХा рддुрд╖ाрд░ рд╕े 3 рд╕ाрд▓ рдЫोрдЯी рд╣ै рдФрд░ рдЙрдирдХी рдЙрдо्рд░ рдХा рдЕрдиुрдкाрдд 7: 8 рд╣ै।
рдоाрдд्рд░ा II: N рдФрд░ рдЕрдиुрд╖िрдХा рдХी рдФрд╕рдд рдЖрдпु 25 рд╡рд░्рд╖ рд╣ै рдФрд░ N, рдЕрдиुрд╖िрдХा рд╕े 2 рд╡рд░्рд╖ рдмреЬा рд╣ै।
(1) Quantity I > Quantity II
(2) Quantity I = Quantity II
(3) Quantity I < Quantity II
(4) Quantity I < Quantity II
(5) Quantity I > Quantity II
(8) Quantity I: Speed of boat in still water, if a man can travel 54 km downstream in 9 hours and 40 km upstream in 10 hours.
Quantity II: Speed of boat in still water, if a man can travel 45 km downstream in 9 hours and the speed of stream is 1 kmph.
. рдоाрдд्рд░ा I: рд╕्рдеिрд░ рдкाрдиी рдоें рдиाрд╡ рдХी рдЧрддि, рдпрджि рдХोрдИ рд╡्рдпрдХ्рддि 9 рдШंрдЯे рдоें 54 рдХिрдоी рдЕрдиुрдк्рд░рд╡ाрд╣ рдоें рдФрд░ 10 рдШंрдЯे рдоें 40 рдХिрдоी рдКрд░्рдз्рд╡рдк्рд░рд╡ाрд╣ рдоें рдпाрдд्рд░ा рдХрд░ рд╕рдХрддा рд╣ै।
рдоाрдд्рд░ा II: рд╕्рдеिрд░ рдкाрдиी рдоें рдиाрд╡ рдХी рдЧрддि, рдпрджि рдХोрдИ рд╡्рдпрдХ्рддि 9 рдШंрдЯे рдоें 45 рдХिрдоी рдЕрдиुрдк्рд░рд╡ाрд╣ рдоें рдпाрдд्рд░ा рдХрд░ рд╕рдХрддा рд╣ै рдФрд░ рдзाрд░ा рдХी рдЧрддि 1 рдХिрдоी рдк्рд░рддि рдШंрдЯा рд╣ै।
(1) Quantity I < Quantity II
(2) Quantity I > Quantity II
(3) Quantity I > Quantity II
(4) Quantity I < Quantity II
(5) Quantity I = Quantity II
(9) What is the area of the rectangle?
Quantity I: The area of the rectangle is equal to the area of the square whose side is 24 cm.
Quantity II: The perimeter of the rectangle is 88cm, if the ratio of the length and the breadth of the rectangle is 6 : 5.
рдЖрдпрдд рдХा рдХ्рд╖ेрдд्рд░рдлрд▓ рдХ्рдпा рд╣ै?
рдоाрдд्рд░ा I: рдЖрдпрдд рдХा рдХ्рд╖ेрдд्рд░рдлрд▓ рдЙрд╕ рд╡рд░्рдЧ рдХे рдХ्рд╖ेрдд्рд░рдлрд▓ рдХे рдмрд░ाрдмрд░ рд╣ै рдЬिрд╕рдХी рднुрдЬा 24 рд╕ेрдоी рд╣ै।
рдоाрдд्рд░ा II: рдЖрдпрдд рдХी рдкрд░िрдзि 88 рд╕ेрдоी рд╣ै, рдпрджि рдЖрдпрдд рдХी рд▓ंрдмाрдИ рдФрд░ рдЪौрдб़ाрдИ рдХा рдЕрдиुрдкाрдд 6: 5 рд╣ै।
(1) Quantity I = Quantity II
(2) Quantity I < Quantity II|
(3) Quantity I < Quantity II
(4) Quantity I > Quantity II
(5) Quantity I > Quantity II
(10) Amazon listed two headphones for Rs. 476. One of the headphones was sold at a loss of 25% and the other at a gain of 29% and the company found that each headphone was sold at the same price.
Quantity I: The cost price of the headphone which was sold at 29% profit.
Quantity II: The selling price of the headphone which was sold at 25% loss.
рдЕрдоेрдЬ़рди рдиे рджो рд╣ेрдбрдлोрди рдЬो рд░ु. 476 рдоें рдЕंрдХिрдд рдеे, рд╣ेрдбрдл़ोрди рдоें рд╕े рдПрдХ рдХो 25% рдХी рд╣ाрдиि рдкрд░ рдмेрдЪा рдЧрдпा рдеा рдФрд░ рджूрд╕рд░े рдХो 29% рдХी рдмрдв़рдд рдкрд░ рдмेрдЪा рдЧрдпा рдеा рдФрд░ рдХंрдкрдиी рдиे рдкाрдпा рдХि рдк्рд░рдд्рдпेрдХ рд╣ेрдбрдлोрди рдПрдХ рд╣ी рдХीрдордд рдкрд░ рдмेрдЪा рдЧрдпा рдеा।
рдоाрдд्рд░ा I: рд╣ेрдбрдл़ोрди рдХा рд▓ाрдЧрдд рдоूрд▓्рдп рдЬो 29% рд▓ाрдн рдкрд░ рдмेрдЪा рдЧрдпा рдеी।
рдоाрдд्рд░ा II: рд╣ेрдбрдл़ोрди рдХा рдмिрдХ्рд░ी рдоूрд▓्рдп рдЬो 25% рд╣ाрдиि рдкрд░ рдмेрдЪा рдЧрдпा рдеी।
(1) Quantity I > Quantity II
(2) Quantity I < Quantity II
(3) Quantity I > Quantity II
(4) Quantity I < Quantity II
(5) Quantity I = Quantity II or no relation can be established.
Answer Key-
Q-(1) Sol-(4)
4900.48 = 24.7 × 15.5 × ?
? = 12.8
Q-(2) Sol-(2)
? = 158480
Q-(3) Sol-(3)
[27225 ÷ 75 × 12] ÷ 36 = (?)2
[363 × 12] ÷ 36 = (?)2
4356 ÷ 36 = (?)2
121 = (?)2
? = 11
Q-(4) Sol-(3)
(?)1/2 = (15210/338)
(?)1/2 = 45
? = 2025
Q-(5) Sol-(4)
?=3.6
Q-(6) Sol-(2)
Quantity I:
Because percentage of boys = 60%,
So the percentage of girls = 100 – 60% = 40%
Quantity II:
Last year,
Boys was 300 × 50% = 150, girls = 300 × 50% = 150
This year, because boys are increased by 10% and total students remain same.
Boys = 150 × 110% = 165, girls = 300 – 165 = 135
% of girls = 45%
Quantity I < Quantity II
Q-(7) Sol-(3)
Quantity I:
Let the age of Anushika = 7x, Tushar = 8x
8x – 7x = 3
x = 3
Age of Anushika = 7 × 3 = 21 years
Quantity II:
Total age of Anushika and N = 25 × 2 = 50 years
Let the age of Anushika = x, N = x + 2
x + x + 2 = 50
2x = 50 – 2
2x = 48
x = 24
Age of Anushika = 24 years
Quantity I < Quantity II
Q-(8) Sol-(3)
Quantity I:
Let speed of boat = x kmph, speed of stream = y kmph
upstream speed = x – y, downstream speed = x + y
x + y = 54/9 = 6 … (I)
x – y = 40/10 = 4 … (II)
Equation (I) + equation (II)
x = 5
Speed of boat = 5 kmph
Quantity II:
Let speed of boat = x kmph, speed of stream = 1 kmph
downstream speed = x + 1
45/9 = x + 1
5 – 1 = x
x = 4
Speed of boat = 4 kmph
Quantity I > Quantity II
Q-(9) Sol-(5)
Quantity I:
Area of the square = 24 × 24 = 576 cm2
Area of the square = Area of the rectangle
Area of the rectangle = 576 cm2
Quantity II:
Length of the rectangle = 6x, Breadth = 5x
Perimeter = 88
2 (l + b) = 88
6x + 5x = 44
11x = 44
x = 4
Length = 24 cm, breadth = 20 cm
Area of the rectangle = 24 × 20 = 480 cm2
Quantity I > Quantity II
Q-(10) Sol-(2)
Let the cost price of Quantity II be x.
Therefore, the cost price of Quantity I will be = (476 – x)
Quantity II Quantity I
Cost price x (476 – x)
Selling price x × 75/100 (476 – x) × 128/100
Now as both the SP’s are equal,
25x = (476 – x) × 43
or, 25x + 43x = 476 × 43
or, 68x = 476 × 43
or, x = 301
Quantity I: The cost price of the headphone at 29% profit = 476 – 301 = 175
Quantity II: Selling price of the headphone sold at 25% loss=225.75
Quantity I < Quantity II
Q-(1-5) What should come in place of the question mark (?) in the following question?
рдиिрдо्рди рдк्рд░рд╢्рди рдоें рдк्рд░рд╢्рдирд╡ाрдЪрдХ рдЪिрди्рд╣ (?) рдХे рд╕्рдеाрди рдкрд░ рдХ्рдпा рдЖрдпेрдЧा ?
(1) 4900.48 = 24.7 × 15.5 × ?
(1) 19.2
(2) 11.6
(3) 10.5
(4) 12.8
(5) 14.4
(2) 566 × 35 × 8 = ?
(1) 154880
(2) 158480
(3) 158840
(4) 168480
(5) 168840
(3) [1652÷75×12]÷36=?2
(1) 7
(2) 9
(3) 11
(4) 13
(5) 17
(4) 338×?1/2=15210
(1) 2000
(2) 3000
(3) 2025
(4) 3025
(5) 5025
(5) [48×4–13×12]÷(25÷5×2)=?
(1) 3.8
(2) 6.4
(3) 3.4
(4) 3.6
(5) 4.8
Q-(6-10) In each of the following question, a question is followed by information given in two statement named as Quantity-I (Q1) and Quantity –II (Q2). You have to study the information and compare the value derived from Quantity-I and Quantity-II. Then answer -
рдиिрдо्рдирд▓िрдЦिрдд рдк्рд░рд╢्рдиों рдоें рдк्рд░рдд्рдпेрдХ рдк्рд░рд╢्рди рдХे рд▓िрдП рдХुрдЫ рд╕ूрдЪрдиा рдПрд╡ं рджो рдХрдерди рдкрд░िрдоाрдг- I (Q1) рдФрд░ рдкрд░िрдоाрдг- II (Q2) рдХे рд░ूрдк рдоें рджी рдЧрдпी рд╣ैं। рдЖрдк рдк्рд░рд╢्рди рд╕рд╣िрдд рд╕ूрдЪрдиा рдХा рдЕрдз्рдпрдпрди рдХрд░ рдкрд░िрдоाрдг- I рдФрд░ рдкрд░िрдоाрдг- II рд╕े рдк्рд░ाрдк्рдд рдоाрдиों рдХी рддुрд▓рдиा рдХीрдЬिрдпे рдФрд░ рдЙрдд्рддрд░ рджीрдЬिрдпे –
(6) Find the percentage of girls in the class this year.
Quantity I: This year the percentage of boys in the class is 60%.
Quantity II: Last year out of the 300 students, 50% was boys and this year the number of boys are increased by 10% but total students remains same.
рдЗрд╕ рд╡рд░्рд╖ рдХрдХ्рд╖ा рдоें рд▓рдб़рдХिрдпों рдХा рдк्рд░рддिрд╢рдд рдЬ्рдЮाрдд рдХीрдЬिрдпे ।
рдоाрдд्рд░ा I: рдЗрд╕ рд╡рд░्рд╖ рдХрдХ्рд╖ा рдоें рд▓рдб़рдХों рдХा рдк्рд░рддिрд╢рдд 60% рд╣ै।
рдоाрдд्рд░ा II: рдкिрдЫрд▓े рд╕ाрд▓ 300 рдЫाрдд्рд░ों рдоें рд╕े, 50% рд▓рдб़рдХे рдеे рдФрд░ рдЗрд╕ рд╡рд░्рд╖ рд▓рдб़рдХों рдХी рд╕ंрдЦ्рдпा рдоें 10% рдХी рд╡ृрдж्рдзि рд╣ुрдИ рд╣ै, рд▓ेрдХिрди рдХुрд▓ рдоिрд▓ाрдХрд░ рдЫाрдд्рд░ों рдХी рд╕ंрдЦ्рдпा рд╕рдоाрди рд╣ै।
(1) Quantity I > Quantity II
(2) Quantity I < Quantity II
(3) Quantity I = Quantity II
(4) Quantity I > Quantity II
(5) Quantity I < Quantity II
(7) What is the age of Anushika?
Quantity I: Anushika is 3 years younger than Tushar and the ratio of their ages is 7: 8.
Quantity II: Average age of N and Anushika is 25 years and N is 2 years older than Anushika.
рдЕрдиुрд╖िрдХा рдХी рдЙрдо्рд░ рдХ्рдпा рд╣ै?
рдоाрдд्рд░ा I: рдЕрдиुрд╖िрдХा рддुрд╖ाрд░ рд╕े 3 рд╕ाрд▓ рдЫोрдЯी рд╣ै рдФрд░ рдЙрдирдХी рдЙрдо्рд░ рдХा рдЕрдиुрдкाрдд 7: 8 рд╣ै।
рдоाрдд्рд░ा II: N рдФрд░ рдЕрдиुрд╖िрдХा рдХी рдФрд╕рдд рдЖрдпु 25 рд╡рд░्рд╖ рд╣ै рдФрд░ N, рдЕрдиुрд╖िрдХा рд╕े 2 рд╡рд░्рд╖ рдмреЬा рд╣ै।
(1) Quantity I > Quantity II
(2) Quantity I = Quantity II
(3) Quantity I < Quantity II
(4) Quantity I < Quantity II
(5) Quantity I > Quantity II
(8) Quantity I: Speed of boat in still water, if a man can travel 54 km downstream in 9 hours and 40 km upstream in 10 hours.
Quantity II: Speed of boat in still water, if a man can travel 45 km downstream in 9 hours and the speed of stream is 1 kmph.
. рдоाрдд्рд░ा I: рд╕्рдеिрд░ рдкाрдиी рдоें рдиाрд╡ рдХी рдЧрддि, рдпрджि рдХोрдИ рд╡्рдпрдХ्рддि 9 рдШंрдЯे рдоें 54 рдХिрдоी рдЕрдиुрдк्рд░рд╡ाрд╣ рдоें рдФрд░ 10 рдШंрдЯे рдоें 40 рдХिрдоी рдКрд░्рдз्рд╡рдк्рд░рд╡ाрд╣ рдоें рдпाрдд्рд░ा рдХрд░ рд╕рдХрддा рд╣ै।
рдоाрдд्рд░ा II: рд╕्рдеिрд░ рдкाрдиी рдоें рдиाрд╡ рдХी рдЧрддि, рдпрджि рдХोрдИ рд╡्рдпрдХ्рддि 9 рдШंрдЯे рдоें 45 рдХिрдоी рдЕрдиुрдк्рд░рд╡ाрд╣ рдоें рдпाрдд्рд░ा рдХрд░ рд╕рдХрддा рд╣ै рдФрд░ рдзाрд░ा рдХी рдЧрддि 1 рдХिрдоी рдк्рд░рддि рдШंрдЯा рд╣ै।
(1) Quantity I < Quantity II
(2) Quantity I > Quantity II
(3) Quantity I > Quantity II
(4) Quantity I < Quantity II
(5) Quantity I = Quantity II
(9) What is the area of the rectangle?
Quantity I: The area of the rectangle is equal to the area of the square whose side is 24 cm.
Quantity II: The perimeter of the rectangle is 88cm, if the ratio of the length and the breadth of the rectangle is 6 : 5.
рдЖрдпрдд рдХा рдХ्рд╖ेрдд्рд░рдлрд▓ рдХ्рдпा рд╣ै?
рдоाрдд्рд░ा I: рдЖрдпрдд рдХा рдХ्рд╖ेрдд्рд░рдлрд▓ рдЙрд╕ рд╡рд░्рдЧ рдХे рдХ्рд╖ेрдд्рд░рдлрд▓ рдХे рдмрд░ाрдмрд░ рд╣ै рдЬिрд╕рдХी рднुрдЬा 24 рд╕ेрдоी рд╣ै।
рдоाрдд्рд░ा II: рдЖрдпрдд рдХी рдкрд░िрдзि 88 рд╕ेрдоी рд╣ै, рдпрджि рдЖрдпрдд рдХी рд▓ंрдмाрдИ рдФрд░ рдЪौрдб़ाрдИ рдХा рдЕрдиुрдкाрдд 6: 5 рд╣ै।
(1) Quantity I = Quantity II
(2) Quantity I < Quantity II|
(3) Quantity I < Quantity II
(4) Quantity I > Quantity II
(5) Quantity I > Quantity II
(10) Amazon listed two headphones for Rs. 476. One of the headphones was sold at a loss of 25% and the other at a gain of 29% and the company found that each headphone was sold at the same price.
Quantity I: The cost price of the headphone which was sold at 29% profit.
Quantity II: The selling price of the headphone which was sold at 25% loss.
рдЕрдоेрдЬ़рди рдиे рджो рд╣ेрдбрдлोрди рдЬो рд░ु. 476 рдоें рдЕंрдХिрдд рдеे, рд╣ेрдбрдл़ोрди рдоें рд╕े рдПрдХ рдХो 25% рдХी рд╣ाрдиि рдкрд░ рдмेрдЪा рдЧрдпा рдеा рдФрд░ рджूрд╕рд░े рдХो 29% рдХी рдмрдв़рдд рдкрд░ рдмेрдЪा рдЧрдпा рдеा рдФрд░ рдХंрдкрдиी рдиे рдкाрдпा рдХि рдк्рд░рдд्рдпेрдХ рд╣ेрдбрдлोрди рдПрдХ рд╣ी рдХीрдордд рдкрд░ рдмेрдЪा рдЧрдпा рдеा।
рдоाрдд्рд░ा I: рд╣ेрдбрдл़ोрди рдХा рд▓ाрдЧрдд рдоूрд▓्рдп рдЬो 29% рд▓ाрдн рдкрд░ рдмेрдЪा рдЧрдпा рдеी।
рдоाрдд्рд░ा II: рд╣ेрдбрдл़ोрди рдХा рдмिрдХ्рд░ी рдоूрд▓्рдп рдЬो 25% рд╣ाрдиि рдкрд░ рдмेрдЪा рдЧрдпा рдеी।
(1) Quantity I > Quantity II
(2) Quantity I < Quantity II
(3) Quantity I > Quantity II
(4) Quantity I < Quantity II
(5) Quantity I = Quantity II or no relation can be established.
Answer Key-
Q-(1) Sol-(4)
4900.48 = 24.7 × 15.5 × ?
? = 12.8
Q-(2) Sol-(2)
? = 158480
Q-(3) Sol-(3)
[27225 ÷ 75 × 12] ÷ 36 = (?)2
[363 × 12] ÷ 36 = (?)2
4356 ÷ 36 = (?)2
121 = (?)2
? = 11
Q-(4) Sol-(3)
(?)1/2 = (15210/338)
(?)1/2 = 45
? = 2025
Q-(5) Sol-(4)
?=3.6
Q-(6) Sol-(2)
Quantity I:
Because percentage of boys = 60%,
So the percentage of girls = 100 – 60% = 40%
Quantity II:
Last year,
Boys was 300 × 50% = 150, girls = 300 × 50% = 150
This year, because boys are increased by 10% and total students remain same.
Boys = 150 × 110% = 165, girls = 300 – 165 = 135
% of girls = 45%
Quantity I < Quantity II
Q-(7) Sol-(3)
Quantity I:
Let the age of Anushika = 7x, Tushar = 8x
8x – 7x = 3
x = 3
Age of Anushika = 7 × 3 = 21 years
Quantity II:
Total age of Anushika and N = 25 × 2 = 50 years
Let the age of Anushika = x, N = x + 2
x + x + 2 = 50
2x = 50 – 2
2x = 48
x = 24
Age of Anushika = 24 years
Quantity I < Quantity II
Q-(8) Sol-(3)
Quantity I:
Let speed of boat = x kmph, speed of stream = y kmph
upstream speed = x – y, downstream speed = x + y
x + y = 54/9 = 6 … (I)
x – y = 40/10 = 4 … (II)
Equation (I) + equation (II)
x = 5
Speed of boat = 5 kmph
Quantity II:
Let speed of boat = x kmph, speed of stream = 1 kmph
downstream speed = x + 1
45/9 = x + 1
5 – 1 = x
x = 4
Speed of boat = 4 kmph
Quantity I > Quantity II
Q-(9) Sol-(5)
Quantity I:
Area of the square = 24 × 24 = 576 cm2
Area of the square = Area of the rectangle
Area of the rectangle = 576 cm2
Quantity II:
Length of the rectangle = 6x, Breadth = 5x
Perimeter = 88
2 (l + b) = 88
6x + 5x = 44
11x = 44
x = 4
Length = 24 cm, breadth = 20 cm
Area of the rectangle = 24 × 20 = 480 cm2
Quantity I > Quantity II
Q-(10) Sol-(2)
Let the cost price of Quantity II be x.
Therefore, the cost price of Quantity I will be = (476 – x)
Quantity II Quantity I
Cost price x (476 – x)
Selling price x × 75/100 (476 – x) × 128/100
Now as both the SP’s are equal,
25x = (476 – x) × 43
or, 25x + 43x = 476 × 43
or, 68x = 476 × 43
or, x = 301
Quantity I: The cost price of the headphone at 29% profit = 476 – 301 = 175
Quantity II: Selling price of the headphone sold at 25% loss=225.75
Quantity I < Quantity II
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MAHENDRA GURU