Question
Two quantities are
given as Quantity I and Quantity II. You have to determine the relationship between them and give the answer. Quantity I: Each bundle has 420 papers. A delivery guy starts with 18 such bundles. After 3 hours, he has delivered 60% of the papers. Later, he is handed 5 more bundles. How many newspapers does he hold now? Quantity II: In a business, the initial investment ratio of Ava and Noah is 5 : 3. After 6 months, Mia joins with some capital. By year-end, Mia’s share is Rs. 3600 more than Noah’s, and Ava’s share is Rs. 2400 more than Noah’s. If Ava’s initial investment was Rs. 25000, what was Mia’s investment?Solution
ATQ, From Quantity I, Total newspapers = 18 × 420 = 7560 Delivered 60% ⇒ remaining = 40% = 7560 × (40/100) = 3024 Extra bundles received = 5 × 420 = 2100 Required total now = 3024 + 2100 = 5124 From Quantity II, Let Mia’s investment = x Ratio of share = (5×12) : (3×12) : (x×6) = 60 : 36 : 6x = 10 : 6 : x Let their shares be 10a, 6a, and xa respectively. Given: 10a – 6a = 2400 4a = 2400 a = 600 Noah’s share = 6a = 3600 Mia’s share = 3600 + 3600 = 7200 So share ratio = 6000 : 3600 : 7200 = 10 : 6 : 12 = 10 : 6 : x ⇒ x = 12 Therefore, investment ratio = 5 : 3 : 12 Let Ava’s investment = 5y = 25000 ⇒ y = 5000 Mia’s investment = 12y = 60000 Hence, Quantity I < Quantity II
Ratio of present ages of mother and her son is 21:10 respectively. Father’s present age is 17 years more than that of mother. If the present average a...
The seller sold a total of 40 kg of rice bags, comprising Basmati Rice and Brown Rice. The cost price of Basmati rice is Rs.72/kg, and that of Brown ric...
In a class, 60% of the students are boys, and the rest are girls. If 40% of the boys and 50% of the girls passed an exam, what percentage of the total s...
In a Mixture, the ratio of Milk and Water is 7: 5. If 12 litre mixture drawn off and replace by 8 litre water then the ratio of Milk and Water become 1...
In what ratio rice at 48 Rs/kg should be mixed with the rice at 34 Rs/kg so that selling mixture at Rs 46 per kg gives the profit of 15% if the quantity...
A school conducted a survey on the number of students participating in various extracurricular activities over three years. The data is as follows (in n...
Cost of two types of pulses is Rs.25 and Rs, 30 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...
Ramu has lent Rs. 60,000 to Murali and Bansi at 7% p.a. and at 11% per annum respectively. At the end of the year, he has gained an overall interest at ...
17, 21, 48, 64, 170
In what ratio mixtures of 22% concentration of alcohol and 35% concentration of alcohol are to be added so that the resultant mixture will have 30% conc...
