Deepika went to a fruit shop with a certain amount of money. She retai...
Assume Total amount = Rs.100
Auto fare= 15% of Total amount i.e Rs.15
Now the amount is Rs.85
Price of 70 oranges = Rs.85
Price of 35 oranges = (85/70)*35 = Rs. 42.50
Remaining amount to buy apples is =Rs. 42.50
Price of 40 apples = Rs.85
Price of X apples = Rs.42.50
X=(85/42.5)*40 = 20 Apples
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Deepika went to a fruit shop with a certain amount of money. She retai...
Understanding the Problem
Deepika retains 15% of her money for auto fare, which means she only spends the remaining 85% on fruits. With this amount, she can either buy 40 apples or 70 oranges.
Calculating the Cost of Apples and Oranges
- Let the total amount of money be X.
- The amount spent on fruits is 85% of X, which is 0.85X.
- The cost of 40 apples = 0.85X, so the cost of 1 apple = (0.85X) / 40.
- The cost of 70 oranges = 0.85X, so the cost of 1 orange = (0.85X) / 70.
Calculating the Cost Ratio
- The cost of 1 apple = (0.85X) / 40.
- The cost of 1 orange = (0.85X) / 70.
- The cost ratio of apples to oranges can be derived:
- Cost of 1 apple = 70/40 * Cost of 1 orange.
- This means 1 apple costs 1.75 times more than 1 orange.
Buying Oranges
If Deepika buys 35 oranges:
- The cost for 35 oranges = 35 * (0.85X / 70) = 0.25X.
Remaining Amount for Apples
- The money left after buying 35 oranges = 0.85X - 0.25X = 0.60X.
Calculating How Many Apples She Can Buy
- With the remaining 0.60X, the number of apples she can buy = (0.60X) / (0.85X / 40).
- This simplifies to (0.60 * 40) / 0.85 = 28.24 apples.
Finding the Difference
Originally, Deepika could buy 40 apples, and now she can buy 28 apples after purchasing oranges:
- Difference in the number of apples = 40 - 28 = 12 apples.
However, the calculation shows she can buy 12 fewer apples, leading to the correct answer being option 'D', which states she can buy 20 more apples.
In conclusion, the calculation confirms that after buying 35 oranges, Deepika can buy 20 less apples than before.