Question
Rs. 7,20,000 is divided among 132 men and women. The
ratio of total amount received by men and women is 5 : 4. But the ratio of money received by each man and each woman is 3 : 2. Find the number of men?Solution
Let money received by men and women be 5x and 4x respectively. As per the question, 5x + 4x = 7,20,000 ⇒ 9x = 7,20,000⇒ x = 80,000 ∴ Amount received by men = 80,000 × 5 = Rs. 4,00,000 and Amount received by women = 80,000 × 4 = Rs. 3,20,000 Let number of men = a and ∴ Number of women = 132 – a ∴ Amount received by each man = 400000/a and Amount received by each women = 320000/(132 - a) As per the question, ⇒ (400000/a)/(320000/(132- a)) = 3/2⇒ 400000/a × (132-a)/320000 = 3/2 ⇒ (5 ( 132-a ))/4a = 3/2⇒ 1320 – 10a = 12a ⇒ 22a = 1320 ∴ a = 60 ∴ Number of men = 60
Out of 1200 people in a city, 40% speak Mandarin and the rest speak Cantonese. If out of non-Mandarin speakers, 35% are males and out of Mandarin speake...
- There are 1500 applicants for a fellowship program. 50% of them are shortlisted for the interview round. Out of those, 1/3 are international candidates. Ho...
Income of A is twice the income of B. B and A spend 75% and 85% respectively of their incomes. Find the savings of A, if B saves Rs. 18000 in a month.
Aman uses 70% of his monthly earnings, resulting in monthly expenses of Rs. 22,750. Riva's savings are 60% higher than Aman's and constitute 40% of her ...
The marks obtained by Meena in English is 40% more than the marks obtained by her in History, and the average marks scored by Meena in English, History,...
Out of the total income of Ravi, he spends 50% on food, 10% on rent and 20% on groceries. Out of the remaining income, he donates 30% in a charity and s...
The income of βAβ increases by 35% every year. If the present income of βAβ is Rs. 45562.5 and his expenditure 2 years ago from now was Rs. 1200...
P gave 70% of the amount he had to Q. Q gave 2/5th of that amount to R. After paying Rs.260 to the shopkeeper out of the amount he gets from ...
In an election, candidate 'A' secured 56% of the total votes cast, while candidate 'B' garnered 85% of the remaining votes. Among the votes received by ...
If 40% of a number is 72, what is 65% of that number?