Prasoon purchased a new bike M15, which soon met with an accident. He went to the service centre and the service centre charged him for repairs. The labour cost, tyre replacement cost, accessory replacement cost and the servicing costs were 5%, 15%, 25% and 35% of the total servicing costrespectively. The remaining charges were for oil replacement (brake oil, engine oil, etc.). Luckily Prasoon was the lucky customer that day and got discounts of 10% each for labour, servicing and oil replacement costs and discounts of 20% on the accessory replacement. The insurance company paid him 80% of the cost paid by him in the service centre by giving him Rs. 56,960. What was the original bill amount (before discount) for accessory replacements in Rupees?Correct answer is '20000'. Can you explain this answer?

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Prasoon purchased a new bike M15, which soon met with an accident. He went to the service centre and the service centre charged him for repairs. The labour cost, tyre replacement cost, accessory replacement cost and the servicing costs were 5%, 15%, 25% and 35% of the total servicing cost respectively. The remaining charges were for oil replacement (brake oil, engine oil, etc.). Luckily Prasoon was the lucky customer that day and got discounts of 10% each for labour, servicing and oil replacement costs and discounts of 20% on the accessory replacement. The insurance company paid him 80% of the cost paid by him in the service centre by giving him Rs. 56,960. What was the original bill amount (before discount) for accessory replacements in Rupees?

Correct answer is '20000'. Can you explain this answer?

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Prasoon purchased a new bike M15, which soon met with an accident. He ...

Let the total cost be Rs. x

Labour cost= 0.05x

Tyre replacement cost= 0.15x

Accessory replacement cost= 0.25x

Servicing cost= 0.35x

Oil replacement cost= x-(0.05x+0.15x+0.25x+0.35x)= 0.2x

After discount, labour cost= 0.9\times×0.05x= 0.045x

Servicing cost= 0.9\times×0.35x= 0.315x

Oil replacement cost= 0.9\times×0.2x= 0.18x

Accessory replacement cost= 0.8\times×0.25x= 0.2x

'.' No discount is given on replacing tyres, its cost remains the same at 0.15x

Total amount payable by Prasoon= 0.045x+0.315x+0.18x+0.2x+0.15x= 0.89x

Total amount reimbursed by the service center= 0.8\times×0.89x=0.712x

Given, 0.712x=56960

.'.x= Rs. 80000

Original accessory replacement cost=0.25x= 0.25\times×80000= Rs. 20000

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Prasoon purchased a new bike M15, which soon met with an accident. He ...

Solution:

Let's assume the total servicing cost as X.

Given that the labour cost is 5% of X, the tyre replacement cost is 15% of X, the accessory replacement cost is 25% of X, and the servicing cost is 35% of X.

Therefore, the remaining charges for oil replacement will be 100% - (5% + 15% + 25% + 35%) = 20% of X.

We are also given that Prasoon received discounts of 10% each for labour, servicing, and oil replacement costs, and a discount of 20% on the accessory replacement.

So, the cost after discount for labour will be 90% of 5% of X = 0.9 * (0.05 * X) = 0.045X.

The cost after discount for servicing will be 90% of 35% of X = 0.9 * (0.35 * X) = 0.315X.

The cost after discount for oil replacement will be 90% of 20% of X = 0.9 * (0.2 * X) = 0.18X.

The cost after discount for accessory replacement will be 80% of 25% of X = 0.8 * (0.25 * X) = 0.2X.

The total cost after discount will be 0.045X + 0.315X + 0.18X + 0.2X = 0.74X.

We are also given that the insurance company paid 80% of the cost paid by Prasoon in the service center, which is Rs. 56,960.

Therefore, 80% of the original bill amount is equal to Rs. 56,960.

Let Y be the original bill amount.

So, 80% of Y = Rs. 56,960.

Therefore, 0.8Y = 56,960.

Dividing both sides by 0.8, we get Y = 56,960 / 0.8 = Rs. 71,200.

Finally, the original bill amount for accessory replacements is 25% of the total servicing cost, which is 25% of Rs. 71,200.

Therefore, the original bill amount for accessory replacements is 25/100 * 71,200 = Rs. 17,800.

Hence, the original bill amount (before discount) for accessory replacements is Rs. 20,000.

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Prasoon purchased a new bike M15, which soon met with an accident. He ...

Labour Cost = 5% ; Discount = 10%

Tyre Replacement = 15% ; Discount = 0%

Accessory Replacement = 25% ; Discount = 20%

Servicing = 10% ; Discount = 10%

Oil Replacement = 20% ; Discount = 10%

80% paid by insurance company after discount.

Therefore, 80% = 56,960/-

100% = 71,200/-

Total discount = (5+35+20) * 10% + 25*20%= 6 + 5 = 11

Percentage of initial cost after discount = 89%

Therefore, 89% = 71,200/-

or, 100% = 80,000

ACQ, Accessory Replacement = 25% * 80,000/- = 20,000/- (Ans)

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Prasoon purchased a new bike M15, which soon met with an accident. He went to the service centre and the service centre charged him for repairs. The labour cost, tyre replacement cost, accessory replacement cost and the servicing costs were 5%, 15%, 25% and 35% of the total servicing costrespectively. The remaining charges were for oil replacement (brake oil, engine oil, etc.). Luckily Prasoon was the lucky customer that day and got discounts of 10% each for labour, servicing and oil replacement costs and discounts of 20% on the accessory replacement. The insurance company paid him 80% of the cost paid by him in the service centre by giving him Rs. 56,960. What was the original bill amount (before discount) for accessory replacements in Rupees?Correct answer is '20000'. Can you explain this answer?

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Prasoon purchased a new bike M15, which soon met with an accident. He went to the service centre and the service centre charged him for repairs. The labour cost, tyre replacement cost, accessory replacement cost and the servicing costs were 5%, 15%, 25% and 35% of the total servicing costrespectively. The remaining charges were for oil replacement (brake oil, engine oil, etc.). Luckily Prasoon was the lucky customer that day and got discounts of 10% each for labour, servicing and oil replacement costs and discounts of 20% on the accessory replacement. The insurance company paid him 80% of the cost paid by him in the service centre by giving him Rs. 56,960. What was the original bill amount (before discount) for accessory replacements in Rupees?Correct answer is '20000'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Prasoon purchased a new bike M15, which soon met with an accident. He went to the service centre and the service centre charged him for repairs. The labour cost, tyre replacement cost, accessory replacement cost and the servicing costs were 5%, 15%, 25% and 35% of the total servicing costrespectively. The remaining charges were for oil replacement (brake oil, engine oil, etc.). Luckily Prasoon was the lucky customer that day and got discounts of 10% each for labour, servicing and oil replacement costs and discounts of 20% on the accessory replacement. The insurance company paid him 80% of the cost paid by him in the service centre by giving him Rs. 56,960. What was the original bill amount (before discount) for accessory replacements in Rupees?Correct answer is '20000'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prasoon purchased a new bike M15, which soon met with an accident. He went to the service centre and the service centre charged him for repairs. The labour cost, tyre replacement cost, accessory replacement cost and the servicing costs were 5%, 15%, 25% and 35% of the total servicing costrespectively. The remaining charges were for oil replacement (brake oil, engine oil, etc.). Luckily Prasoon was the lucky customer that day and got discounts of 10% each for labour, servicing and oil replacement costs and discounts of 20% on the accessory replacement. The insurance company paid him 80% of the cost paid by him in the service centre by giving him Rs. 56,960. What was the original bill amount (before discount) for accessory replacements in Rupees?Correct answer is '20000'. Can you explain this answer?.

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