Ram, Shyam and Sameer bought a car with cost price of Rs 2 lakhs. They got the car at a 20% discount and paid for it in the ratio of 3 : 4 : 5 respectively. After 1 month, they got to know that the seller sold them a second hand car and asked for a refund. Shopkeeper told them that he’ll give them a brand new car which is twice the M.P of the previous car at 3/4 th of its price in the exchange offer. Shyam disagreed to pay anything and just wanted his money back which was given to him by Ram and Sameer equally. So, how much total money(in Rs.)Ram had to pay in the whole process.?

Question

Ram, Shyam and Sameer bought a car with cost price of Rs 2 lakhs. They got the car at a 20% discount and paid for it in the ratio of 3 : 4 : 5 respectively. After 1 month, they got to know that the seller sold them a second hand car and asked for a refund. Shopkeeper told them that he’ll give them a brand new car which is twice the M.P of the previous car at 3/4 th of its price in the exchange offer. Shyam disagreed to pay anything and just wanted his money back which was given to him by Ram and Sameer equally. So, how much total money(in Rs.)Ram had to pay in the whole process.?

365373.66
223958.33
254846.20
463845.75

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : 223958.33

Given: Ram, Shyam and Sameer bought a car with cost price of Rs 2 lakhs

Let the amount paid by Ram, Shyam and Sameer be 3a, 4a and 5a respectively

⇒ 3a + 4a + 5a = 200000

⇒ 12a = 200000

⇒ a = Rs. 16666.66

Amount paid by Ram = 3a = 3 × 16666.66 = Rs. 50000

Amount paid by Shyam = 4a = 4 × 16666.66 = Rs. 66666.66

Amount paid by Sameer = 5a = 5 × 16666.66 = Rs. 83333.33

Let the M.P. of the car be b

So, b – b(20/100) = 200000

⇒b(1 –1/5) = 200000

⇒ b = 200000/(4/5)

⇒ b = 250000

So, M.P = Rs.250000

Price of new car = 2 × 250000 = Rs.500000

⇒ Amount to be paid for the new car = 3/4(500000) = Rs.375000

Since, Ram and Sameer paid for new car in the ratio of 3:5

Let Ram pays 3d and Shyam pays 5d

⇒ 3d + 5d = 375000

⇒ 8d = 375000

⇒ d = 46875

Amount paid by Ram for the new car = 3d = 46875 × 3 = Rs.140625

Also, Ram pays half of the amount of Shyam’s payment

⇒ 66666.66/2 = Rs.33333.33

So, total amount paid by Ram = 50000 + 140625 + 33333.33 = Rs.223958.33

∴ the correct option is (2)