Home
Class 14
MATHS
Jane won a lottery and gets 1/3rd of the...

Jane won a lottery and gets 1/3rd of the winning amount and donates Rs.6000 which is 1/6th, find how much the lottery was Worth.
A. 36000
B. 18000
C. 54000
D. 108000

A

D

B

C

C

A

D

B

Text Solution

AI Generated Solution

The correct Answer is:
To find out how much the lottery was worth, we can break down the information given in the problem step by step. ### Step 1: Understand the relationship between Jane's winnings and the total lottery amount. Jane won 1/3 of the total lottery amount. Let's denote the total lottery amount as \( L \). ### Step 2: Express Jane's winnings in terms of \( L \). Since Jane gets 1/3 of the total amount, we can express her winnings as: \[ \text{Jane's winnings} = \frac{1}{3}L \] ### Step 3: Understand the donation. According to the problem, Jane donates Rs. 6000, which is stated to be 1/6 of the total lottery amount. We can express this as: \[ 6000 = \frac{1}{6}L \] ### Step 4: Solve for \( L \). To find \( L \), we can rearrange the equation from Step 3: \[ L = 6000 \times 6 \] \[ L = 36000 \] ### Conclusion: The total worth of the lottery is Rs. 36,000. ### Final Answer: The lottery was worth Rs. 36,000 (Option A). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

M borrowed some money for 1 year at certain simple interest. But the interest rate was increased to 2% which amounted to Rs. 120 . Find the principal amount. A. Rs. 4,000 B. Rs. 5,000 C. Rs. 6,000 D. Rs. 7,000

A and B together have Rs 3000. If 2//5^(th) of A's amount is equal to 1//5^(th) of B's how much amount B has ?

The cost of a pen is Rs 6(2)/(3) and that of a pencil is Rs 4(1)/(6) . Which cost is more and by how much?

A and B are partners sharing profits and losses in the ratio of 3 : 2. They admit C into partnership for 1/4th share in profits which he takes 1/6th from A and 1/12th from B. C brings RS 18,000 as goodwill out of his share of RS 30,000. Pass necessary Journal entries to record this arrangement.

A and B together have Rs 1,500. If 1//4^(th) of A's amount is equal to 2//4^(th) of B's, then how much amount A has ?

A sells a scooter priced at Rs.36000. He gives a discount of 8% on the first Rs.20000 and 5% on the next Rs.10000. How much discount can he afford on the remaining Rs.6000 if he is to get as much as when 7% discount is all on the total? 5% b.6% c.7% d.8%

The maturity value after three years, of a certain sum at 15% p.a. simple interest, is Rs. 8,700/-. Find the principal amount. A. Rs. 5,000 B. Rs. 6,000 C. Rs. 5,500 D. Rs. 6,500

Rs 10,200 has to be divided between A, B & C so that A gets 2/3 of what B gets and B gets 1/4 of what C gets. How much more does C get over A (in Rs)? 10,200 रू A, B और C में इस तरह बांटे जाए कि A को B का 2/3 मिले और B को C का 1/4 मिले।C को A कितना अधिक मिलेगा (रू में)