A dealer buys an article marked at Rs.25,000 with 20% and 5%

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A dealer buys an article marked at Rs.25,000 with 20% and 5% off. He spends Rs.1,000 for its repairs and sells it for Rs.25,000. What is his gain or loss percent?

ALoss of 25%

BGain of 25%

CGain of 10%

DLoss of 10%

Nithin K ? Nov 22 '2016 at 22:29

Answer is : Gain of 25%

Explanation:

A dealer buys an article marked at Rs.25,000
After first discount 20% it become,
= 25000 - 20% of 25000 = 20000.

After second discount 5%, it becomes
= 20000 - 5% of 20000 = 19000.

He spends Rs.1,000 for its repairs
= 19000 + 1000 = 20000
so, Cost Price: (C.P.) = 20000 .....................(i)

and sells it for Rs.25,000
So, Selling Price: (S.P.) = 25000 ..................(ii)

From (i) and (ii)
S.P. is greater than C.P., the seller is said to have a profit or gain.

Profit or Gain = (S.P.) - (C.P.)
= 25000 - 20000 
= 5000.
\(\text{% Profit} = \frac{5000*100}{20000} = 25%.\)

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A and B can complete a piece of work in 12 and 18 days

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A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in

A

B

C

D

Nithin K ? Nov 23 '2016 at 21:4

Answer is: \(14 \frac{1}{3} days\)

Explanation:

A can complete total work in 12 days

One day work of A = \(\frac{1}{2}\)part

B can complete work in 18 days

One day work of B = \(\frac{1}{18}\)part

A and B together can complete work in one day,

=\(\frac{1}{12} + \frac{1}{18}\)

=\(\frac{18+12}{216}\)=\(\frac{30}{216}\)=\(\frac{15}{108}\)

=\(\frac{5}{36}\)part

Evidently, the work done by A and B during 7 pairs (14 days)

=\(7 \times \frac{5}{36} = \frac{35}{36}\)

Remaining work = \(\big(1-\frac{35}{36}\big) = \frac{1}{36}\)

Now, on 15th  day it is  A's turn.

Now \(\frac{1}{12}\)work is done by A in 1 day.

\(\frac{1}{36}\) work will be done by A in \(\big[12 \times \frac{1}{36}\big] = \frac{1}{3}\) day

So, total time taken = \(14 \frac{1}{3}\) days

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The expenses on rice, fish and oil of a family are in the

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The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by

A

B

C

D

Nithin K ? Nov 22 '2016 at 22:16

Answer is : \(28 \frac{1}{8}\%\)

Explanation:

Ratio of the expenses on rice, fish, and oil = 12 : 17 : 3
Let the expences be 12x, 17x and 3x

Total expenditure = 12x + 17x + 3x = 32x

Increased expenditure on rice = 12x × (1 + 20/100) = 14.4x
Increased expenditure on fish = 17x × (1 + 30/100) = 22.1x
Increased expenditure on oil =  3x × (1 + 50/100) = 4.5x

Total expenditure after increase = (14.4x + 22.1x + 4.5x) = 41x

Increased expenditure = 41x - 32x = 9x

Percentage increase in the expenditure = \(\frac{9x * 100}{32} = 28.125\%\)

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The value of ★ in the sequence

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A0

B1

C-1

D-3

Nithin K ? Nov 21 '2016 at 20:17

Answer is : 1

Explanation:

Sequence Given is,
\(27, 9, 3, _, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}\)
rewrite sequence using 3's power
\(3^3, 3^2, 3^1, \text{_ },3^{-1}, 3^{-2}, 3^{-3}\)
the missed number is \(3^0 = 1\)

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