Let's solve this step by step:

Step 1: We know that the selling price of both bicycles is Rs. 9831.

Step 2: Let's denote the cost price of A's bicycle as 'a' and the cost price of B's bicycle as 'b'.

Step 3: According to the problem, A sold his bicycle at a loss of 13%. This means that 87% of the cost price of A's bicycle is Rs. 9831. We can write this as: 0.87a = 9831.

Step 4: Similarly, B sold his bicycle at a gain of 13%. This means that 113% of the cost price of B's bicycle is Rs. 9831. We can write this as: 1.13b = 9831.

Step 5: Now, we can solve these two equations to find the ratio of 'a' to 'b'.

From equation 3, we can find 'a' = 9831/0.87 = 11300.

From equation 4, we can find 'b' = 9831/1.13 = 8700.

Step 6: Therefore, the ratio of the cost price of A's bicycle to that of B's bicycle is 11300:8700.

Step 7: Simplifying this ratio by dividing both sides by 100, we get 113:87.

So, the answer is d. 113:87.

Question

Let's solve this step by step:

Step 1: We know that the selling price of both bicycles is Rs. 9831.

Step 2: Let's denote the cost price of A's bicycle as 'a' and the cost price of B's bicycle as 'b'.

Step 3: According to the problem, A sold his bicycle at a loss of 13%. This means that 87% of the cost price of A's bicycle is Rs. 9831. We can write this as: 0.87a = 9831.

Step 4: Similarly, B sold his bicycle at a gain of 13%. This means that 113% of the cost price of B's bicycle is Rs. 9831. We can write this as: 1.13b = 9831.

Step 5: Now, we can solve these two equations to find the ratio of 'a' to 'b'.

From equation 3, we can find 'a' = 9831/0.87 = 11300.

From equation 4, we can find 'b' = 9831/1.13 = 8700.

Step 6: Therefore, the ratio of the cost price of A's bicycle to that of B's bicycle is 11300:8700.

Step 7: Simplifying this ratio by dividing both sides by 100, we get 113:87.

So, the answer is d. 113:87.

Knowee AI · Accepted Answer

Let's solve this step by step:

Step 1: We know that the selling price of both bicycles is Rs. 9831.

Step 2: Let's denote the cost price of A's bicycle as 'a' and the cost price of B's bicycle as 'b'.

Step 3: According to the problem, A sold his bicycle at a loss of 13%. This means that 87% of the cost price of A's bicycle is Rs. 9831. We can write this as: 0.87a = 9831.

Step 4: Similarly, B sold his bicycle at a gain of 13%. This means that 113% of the cost price of B's bicycle is Rs. 9831. We can write this as: 1.13b = 9831.

Step 5: Now, we can solve these two equations to find the ratio of 'a' to 'b'.

From equation 3, we can find 'a' = 9831/0.87 = 11300.

From equation 4, we can find 'b' = 9831/1.13 = 8700.

Step 6: Therefore, the ratio of the cost price of A's bicycle to that of B's bicycle is 11300:8700.

Step 7: Simplifying this ratio by dividing both sides by 100, we get 113:87.

So, the answer is d. 113:87.

A and B sold their bicycle at Rs. 9831 each. but A incurred a loss of 13%, while B gained 13%. What is the ratio of the cost price of the bicycle of A to that of B?a.13:7b.642:537c.7:3d.113:87

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