Ranbir bought a car at a 50% discount on the cost price of the car. Had he got a 60% discount, he would have spent Rs1,00,000
less. Calculate the cost price of the car?
This questions was previously asked in
SSC MTS 5th July 2022 Shift-3
Rs15 lakhs
Incorrect AnswerRs20 lakhs
Incorrect AnswerRs18 lakhs
Incorrect AnswerRs10 lakhs
Correct AnswerExplanation:
- Ranbir got a 50% discount on the cost price of the car.
- He thought of a scenario where he could have received a 60% discount.
- The difference in discounts would save him Rs 1,00,000.
- Let's denote the cost price of the car as Rs X.
- A 50% discount means he paid 50% of X: \(0.5 \times X\).
- A 60% discount would mean paying 40% of X: \(0.4 \times X\).
- The difference in these two amounts is Rs 1,00,000: \((0.5X - 0.4X) = 1,00,000\).
- Therefore, \(0.1X = 1,00,000\).
- Solving for X gives \(X = 10,00,000\) or Rs 10 lakh.
Option:4, Rs10 lakhs
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