Abhijit invested in three schemes A, B and C the amounts in the ratio of 2 : 3 : 4 respectively. If the schemes offered interest @ 20 p.c.p.a. 16 p.c.p.a. and 15 p. c.p. a. respectively, what will be the respective ratio of the amounts after one year ?

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Abhijit invested in three schemes A, B and C the amounts in the ratio of 2 : 3 : 4 respectively. If the schemes offered interest @ 20 p.c.p.a. 16 p.c.p.a. and 15 p. c.p. a. respectively, what will be the respective ratio of the amounts after one year ?

A10 : 8 : 5

B12 : 14 : 15

C12 : 15 : 22

DNone of these

Nithin ? undefined

Correct answer is: None of these

Explanation:

Let the amount invested in schemes A, B aand C in Rs. respectively be 2x, 3x and 4x

Amount after 1 year in scheme :

\(A = \frac{120}{100} \times 2x = 2.4 x\)

\(B = \frac{116}{100} \times 3x = 3.48x\)

\(C = \frac{115}{100}\times 4x =4.6x\)

\(\implies \text{Required ratio =} 2.4: 3.48:4.6\)

\(= 60:87:115\)

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Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

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Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

A18

B32

C24

D Cannot be determined

Nithin ? undefined

Correct answre is:  Cannot be determined

Explanation:

Let the numbers be x and y respectively . Then,

\(\Large \frac{3}{4}x = \text{= 60% of y}\)

\(= \Large \frac{3}{4}x = \frac{60}{100}y \implies \frac{3}{4}x = \frac{3}{5}y\)

\(=\Large y = \frac{3}{4} \times \frac{5}{3}x = \frac{5}{4}x\)

\(\therefore \Large y - x = \frac{5}{4}x-x = \frac{x}{4}\)

Clearly, no unique answer is possible.

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The present age of A, B, C are in the ratio 8:14:22 respectively.the present ages of B, C and D are in the ratio 21:33:44 respectively. Which of the following represents the ratio of he present ages of A, B, C and D respectively

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The present age of A, B, C are in the ratio 8:14:22 respectively.the present ages of B, C and D are in the ratio 21:33:44 respectively. Which of the following represents the ratio of he present ages of A, B, C and D respectively

A12:22:33:44

B12:22:31:44

C12:21:33:44

DNone of the these

Nithin ? undefined

Correct answer is: 12:21:33:44

Explanation:

A : B : C = 8 : 14 : 22
or 4 : 7 : 11
or 12 : 21 : 33
B : C : D = 21 : 33 : 44
Therefore, A : B : C : D
= 12 : 21 : 33 : 44

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The income of a broker remains unchanged though the rate of commission is increased from 4 per cent to 5 per cent. The percentage of slump in business is:

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The income of a broker remains unchanged though the rate of commission is increased from 4 per cent to 5 per cent. The percentage of slump in business is:

A10 percent

B15 percent

C20 percent

D30 percent

Nithin ? Aug 10 '2022 at 20:14

Correct answer is: 20 per cent

Explanation:

Let the business value changes from Rs.x to Rs.y.

Therefore, 4% of x = 5% of y

\(\implies \Large \frac{4x}{100} = \frac{5y}{100}\)

\(\implies y = \Large \frac{4}{5}x\)

Change in business

\(= \Large \left(x - \frac{4}{5}x\right)=\frac{x}{5}\)

Therefore, Percentage slump in business

\(= \Large \frac{x}{5} \times \frac{1}{x} \times 100 = \text{20 %}\)

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A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?

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A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?

A$\text{25%}$

B$\text{26.4 %}$

C$\text{24.8%}$

D$\text{30%}$

Nithin ? Aug 10 '2022 at 20:3

Correct answer is: \(\text{30%}\)

Explanation:

SP = 17940, Discount = 8%

\( MP = \frac{17940}{0.92}= ₹ 19500\)

\(\text{∴ Gain = 19.6% (given)}\)

\(∴ CP = \frac{17940}{1.196}= ₹ 15000\)

\(\text{New SP without discount = ₹ 19500}\)

\(Gain = (19500 – 15000) = ₹ 4500\)

\( \therefore \text{ Gain percent =} \frac{4500}{15000} \times 100 = \text{30%}\)

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