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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By selling a table for Rs.350 instead of Rs.400, loss percent increases by 5%. The cost price of the table is:

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By selling a table for Rs.350 instead of Rs.400, loss percent increases by 5%. The cost price of the table is:

ARs.435

BRs.417.50

CRs.1000

DRs.1050

Nithin ? Aug 11 '2022 at 8:46

Correct answer is: Rs.1000

Explanation:

If the C.P. of table be Rs.x, then

\(\Large \frac{400-350}{x} \times 100 = 5\)

\(\implies \Large 50 \times 100 = 5x\)

\(\implies x = Rs.1000\)

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If the cost price of 15 articles is equal to the selling price of 12 articles, find gain percent.

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If the cost price of 15 articles is equal to the selling price of 12 articles, find gain percent.

A20

B25

C18

D21

Nithin ? Aug 11 '2022 at 8:41

Correct answer is: 25

Explanation:

Gain percent

\(=\frac{15-12}{12}\times 100\)

\(\text{= 25 %}\)

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The profit earned after selling an article for Rs. 1,516 is the same as loss incurred after selling the article for Rs. 1,112. What is the cost price of the article ?

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The profit earned after selling an article for Rs. 1,516 is the same as loss incurred after selling the article for Rs. 1,112. What is the cost price of the article ?

ARs. 1,314

BRs. 1,343

CRs. 1,414

DRs. 1,434

Nithin ? Aug 11 '2022 at 8:11

Correct answer is: Rs. 1,314

Explanation:

Let the cost price of the artice be Rs. x.
According to the question,

\(1516 - x = x - 1112\)

\(\implies 2x = 1516 + 1112 = 2628\)

\(\implies x =\frac{2628}{2}\)

\(= Rs. 1314\)

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By selling 18 chocolates, a vendor loses the selling price of 12 chocolates. Find his loss percent.

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By selling 18 chocolates, a vendor loses the selling price of 12 chocolates. Find his loss percent.

A$\text{9%}$

B$\text{10%}$

C$\text{11%}$

D$\text{12%}$

Nithin ? Aug 11 '2022 at 7:44

Correct answer is: \(\text{10%}\)

Explanation:

If the S.P. of 1 chocolate be Re.1, then

S.P. of 18 chocolates = Rs.18

C.P. = 18 + 2 = Rs.20

\(\therefore \text{Loss percent =} \Large \frac{2}{20} \times 100\)
= 10%

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