Question
A boat, whose speed in still water is 25% more than the
speed of the current, covers 315 km downstream in _____ hours. The speed of the boat in still water is ______ km. The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: I. 20, 8 II. 10, 17.5 III. 14, 12.5Solution
Let, the speed of the current be x km/hr Therefore, speed of the boat in still water = 1.25x km/hr Downstream speed of the boat = x + 1.25x = 2.25x km/hr For I: 2.25x = 315/20 => 2.25x = 15.75 => x = 7 Therefore, speed of boat in still water = 1.25x = 8.75 km/hr Therefore, I is false. For II: 2.25x = 315/10 => 2.25x = 31.5 => x = 14 Therefore, speed of boat in still water = 1.25x = 17.5 km/hr Therefore, II is true. For III: 2.25x = 315/14 => 2.25x = 22.5 => x = 10 Therefore, speed of the boat in still water = 1.25x = 12.5 km/hr Therefore, III is true.
A and B together started a business with initial investment in the ratio of 3:5, respectively. The time-period of investment for A and B is in the ratio...
A shopkeeper purchases rice of two varieties ‘A’ and ‘B’ at Rs. 21 per kg and Rs. 27 per kg respectively. He mixes 1 kg of variety ‘A’ rice ...
A shopkeeper buys a fan for Rs 1,440 and marks it 25% above the cost price. During a sale, he gives a discount of 10% on the marked price. What is his p...
The CP of 38 pencils is equal to SP of 32 pencils. Find the gain percent.
A shopkeeper sold an article after giving a discount of 23% and made a profit of Rs.26. Find the difference between the marked price and selling price o...
- A vendor priced an item 45% higher than its cost price. If he sells it at a 5% discount, what is the vendor's gain percentage?
A man sells two articles at ₹2,000 each. On one, he gains 25%, and on the other, he loses 20%. What is his overall profit or loss percentage?
The percentage profit earned when an article is sold for Rs. 730 is double the percentage profit earned when the same article is sold for Rs. 455. If th...
The cost price of item ‘P’ is Rs. 30 more than that of item ‘Q’. Items ‘Q’ and ‘P’ are sold at a profit of 25% and a loss of 20%, respec...
An article was marked 25% above the cost price and sold after a discount of Rs. 200. If the selling price of the article is Rs. 1300, then find the cost...
Relevant for Exams:
