Question : If bananas are bought at the rate of 4 for a rupee, how many must be sold for a rupee to gain $33\frac{1}{3}\%$?
Option 1: 2.5
Option 2: 2
Option 3: 3
Option 4: 4
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Correct Answer: 3
Solution : Given: Cost price (CP) of 4 bananas = 1 rupee = 100 paise Gain percentage on 4 bananas = $33\frac{1}{3}\% = \frac{100}{3}\%$ We know the selling price (SP) = CP + Profit SP of 4 bananas = (100 + $\frac{100}{3}$) = $\frac{400}{3}$ paise SP of 1 banana = $\frac{\frac{400}{3}}{4}$ = $\frac{100}{3}$ The number of bananas to be sold for 100 paise to get a profit of $\frac{100}{3}\%=\frac{100}{\frac{100}{3}}=3$ Hence, the correct answer is 3.
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Question : If a sum of money becomes INR 6,000 in 3 years and INR 10,500 in 7 years and 6 months at the same rate of simple interest, then what is the rate of interest?
Option 1: $33 \frac{1}{3}$%
Option 2: $25 \frac{1}{2}$%
Option 3: $45 \frac{2}{3}$%
Option 4: $66 \frac{1}{3}$%
Question : If 60 chairs are bought for Rs. 24,560, then how many chairs must be sold for Rs. 24,560 to earn a profit of 20 percent?
Option 1: 50
Option 2: 30
Option 3: 60
Option 4: 40
Question : A sells a cycle to B at a profit of 33% and B sells it to C at a loss of 25%. If C bought the cycle for INR 3059, then the cost price of it for A was:
Option 1: INR $3066 \frac{2}{3}$
Option 2: INR $2044 \frac{1}{3}$
Option 3: INR $4054 \frac{1}{3}$
Option 4: INR $5014 \frac{2}{3}$
Question : A sold an item to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid INR 6,520 for it, then the cost price of the item for A was:
Option 1: INR 4,355$\frac{4}{9}$
Option 2: INR 6,125$\frac{1}{9}$
Option 3: INR 4,785$\frac{4}{9}$
Option 4: INR 5,795$\frac{5}{9}$
Question : If the amount is $3\frac{3}{8}$ times the sum after 3 years at compound interest compounded annually, then the Rate of interest per annum is:
Option 1: $25$%
Option 2: $50$%
Option 3: $16\frac{2}{3}$%
Option 4: $33\frac{1}{3}$
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