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The ratio of the price of two bicycles was 7 : 8. Two years later, when the price of the first has risen by 30% and the price of the second increases by Rs. 1,500, then their prices are in the ratio 15 : 16. What is the original price of (in Rs.) the second bicycle?1. 7,031.252. 8,103.253. 7,013.254. 8,031.25 |
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Answer» Correct Answer - Option 1 : 7,031.25 Given: The ratio of the price of two bicycles was 7 : 8. The price of the first has risen by 30%. The price of the second increases by Rs.1,500. The final ratio of their prices is 15 : 16. Concept Used: The increased value = (100 + percentage)/100 × Initial value Calculation: Let the price of first cycle be 7x. Let the price of second cycle be 8x. After 2 years, the price of first cycle = (100 + 30)/100 × 7x = 9.1x After 2 years, the price of second cycle = 8x + 1500 According to the question; The final ratio of their prices is 15 : 16. ⇒ 9.1x/(8x + 1500) = 15/16 ⇒ 145.6x = 120x + 22500 ⇒ 25.6x = 22500 ⇒ x = 22500/25.6 = 5625/6.4 The price of second cycle = 8x = 8 × 5625/6.4 = Rs.7031.25 ∴ The price of second cycle is Rs.7031.25. |
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