Calculating Total Car Cost
Let the total cost of the car be represented by '$C$'.
M's Share Calculation
M pays $\frac{3}{7}$th of the total cost.
- M's share = $\frac{3}{7}C$
N's Share Calculation
Since M and N are the only partners, N pays the remaining share.
- N's share = Total Cost - M's Share
- N's share = $C - \frac{3}{7}C = \frac{7}{7}C - \frac{3}{7}C = \frac{4}{7}C$
Difference in Payment
We are given that M pays ₹ 31,540 less than N. This means the difference between N's share and M's share is ₹ 31,540.
- N's share - M's share = ₹ 31,540
- $\frac{4}{7}C - \frac{3}{7}C = 31540$
- $\frac{1}{7}C = 31540$
Determining Total Cost
To find the total cost '$C$', we multiply the difference by 7.
- $C = 31540 \times 7$
- $C = 220780$
Therefore, the total cost of the car is ₹ 2,20,780.
Similar Questions
- A and B start a business by investing ₹40,000 and ₹60,000, respectively. At the end of the year, they earn a profit of ₹20,000. How much profit will A receive?
Important Questions from Partnership
A, B and C invest in a business in the ratio 4 ∶ 5 ∶ 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?
Sumit, Ravi and Puneet invest Rs. 45000, Rs. 81000 and Rs. 90000 respectively to start a business. At the end of the year the total profit is Rs. 4800. 30% of the total profit gives in charity and rest is divided among them. What will be the share of Sumit?
A sum of ₹ 159250 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. The share (in ₹) of A is:
A and B start a business by investing Rs. 1,00,000 and Rs. 1,50,000 respectively. Find the respective share of each out of a total profit of Rs. 24, 000.
Two partners A and B have started business with the capitals of Rs. 6,000 and Rs. 8,000 respectively. If they made profit of Rs. 5,600 then the share (in Rs.) of A is:
