20 boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (eg, if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7: 8?

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20 boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (eg, if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7: 8?

A75

B65

C70

D60

Nithin ? Aug 11 '2022 at 21:43

Correct answer is: 75

Explanation:

Let the no. of increased boys and girls be x each
Thus \(\frac{(20 + x)}{(25 + x)} = \frac{7}{8}\)
Thus x = 15
Hence number of members of group = 20 + 15 + 25 + 15 = 75

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In a college the number of students studying Arts, Commerce and Science are in the ratio of 3 : 5 : 8 respectively. If the number of students studying Arts, Commerce and Science is increased by 20%, 40% and 25% respectively, what will be the new ratio of students in Arts,Commerce and Science respectively?

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In a college the number of students studying Arts, Commerce and Science are in the ratio of 3 : 5 : 8 respectively. If the number of students studying Arts, Commerce and Science is increased by 20%, 40% and 25% respectively, what will be the new ratio of students in Arts,Commerce and Science respectively?

A18 : 35 : 50

B3 : 10 : 10

C4 : 8 : 5

D32 : 35 : 25

Nithin ? Aug 11 '2022 at 21:36

Correct answer is: 18 : 35 : 50

Explanation:

Let the number of students in Arts. Commerce and Science be

3x, 5x and 8x respectively.

On increasing their respective numbers,

Required ratio

\(=\Large 3x \times \frac{12}{100} : 5x \times \frac{140}{100} : 8x \times \frac{125}{100}\)

= 360 : 700 : 1000 = 18 : 35 : 50

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A sum of money is to be divided among four persons in the ratio of 2:3:4:5. Out of the four, one person gets Rs 200 more than the other and Rs 100 less than another. What is the sum ?

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A sum of money is to be divided among four persons in the ratio of 2:3:4:5. Out of the four, one person gets Rs 200 more than the other and Rs 100 less than another. What is the sum ?

ARs 2800

BRs 1400

CRs 4200

DCan’t be determined

nithin ? Aug 11 '2022 at 21:30

Correct answer is: Rs. 1400

Explanation:

From the options,
2x + 3x + 4x + 5x = 1400
=> 14x = 1400  x = 100
shares are : Rs. 200, Rs. 300.
Rs. 400 and Rs. 500.
Hence, total sum = 200 + 300 + 400 + 500
= Rs. 1400

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Samaira, Mahira and Kiara rented a set of DVDs at a rent of Rs. 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara's share of rent to be paid ?

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Samaira, Mahira and Kiara rented a set of DVDs at a rent of Rs. 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara's share of rent to be paid ?

ARs. 192

BRs. 204

CRs. 215

DRs. 238

Nithin ? Aug 11 '2022 at 21:23

Correct answer is: Rs. 238

Explanation:

\(\eqalign{ & {\text{Ratio of shares}} \cr & = 8:12:14 \cr & = 4:6:7 \cr & \therefore {\text{Kiara's share}} \cr & = {\text{Rs}}{\text{.}}\left( {578 \times \frac{7}{{17}}} \right) \cr & = {\text{Rs. }}{\text{238}} \cr}\)

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Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?

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Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?

A2 : 3 : 4

B6 : 7 : 8

C6 : 8 : 9

DCannot be determined

Nithin ? Aug 11 '2022 at 21:12

Correct answer is: 2 : 3 : 4

Explanation:

Let the initial seats for Maths, Physics and Biology be 5x. 7x and 8x respectively.

Now. new seats for Maths = \(\Large \frac{5x \times 140}{100}\)

For Physics = \(\Large \frac{7x \times 150}{100}\)

and for Biology = \(\Large \frac{8x \times 175}{100}\)

Therefore, Required ratio

\(\Large \frac{5x \times 140}{100} : \Large \frac{7x \times 150}{100}: \Large \frac{8x \times 175}{100}\)

\(\Large 5 \times 140:\Large 7 \times 150: \Large 8 \times 175\)

\(= 2 : 3 : 4\)

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If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article whose retail price is Rs.1265. is:

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If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article whose retail price is Rs.1265. is:

ARs.632.50

BRs.800

CRs.814

DRs.834.34

Nithin ? Aug 11 '2022 at 19:25

Correct answer is: Rs.800

Explanation:

C.P. of article

\(= \Large 1265 \times \frac{100}{110} \times \frac{100}{115} \times \frac{100}{125}\)

\(= \text{Rs. 800}\)

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Ram bought 1600 eggs at Rs. 3.75 per dozen. He sold 900 of them at 2 for Re 1 and the remaining at 5 for Rs. 2. His gain per cent is :

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Ram bought 1600 eggs at Rs.3.75 per dozen. He sold 900 of them at 2 for Re.1 and the remaining at 5 for Rs.2. His gain per cent is:

A40%

B45%

C42%

D46%

Nithin ? Aug 11 '2022 at 8:54

Correct answer is: 46%

Explanation:

C.P. of 12 eggs = Rs.3.75

Therefore, C.P. of 1600 eggs

\(=\Large \frac{3.75 \times 1600}{12} = \text{= Rs. 500}\)

\(\text{S.P. of 900 eggs = }\Large \frac{1}{2} \times 900 = \text{Rs 450}\)

S.P. of remaining 700 eggs

\(= \Large \frac{2}{5} \times 700 = \text{Rs 280}\)

Total S.P. = 450 + 280 = Rs.730

Gain = 730 - 500 = Rs.230

Gain percent =  \(\Large \frac{230}{500} \times 100\)

= 46%

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