Multiple choice

Two brothers A and B had some savings in the ratio 4 : 3. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 2. After they bought, A spent two-third of his amount while B is left with Rs. 132. Then the value of the gift is- दो भाई A और B के बचत का अनुपात 4 : 3 है । वे अपनी बहन के लिए एक उपहार खरीदने का फैसला करते हैं तथा लागत को 3 : 2 अनुपात में साझा करते हैं। उनके द्वारा खरीददारी के बाद A ने अपनी बचत का दो तिहाई भाग खर्च कर दिया जबकि B के पास 132 रूपये शेष बचे । तो उपहार का का मूल्य है -

  1. Rs. 480

  2. Rs. 360

  3. Rs. 500

  4. Rs. 420

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's and B's savings be 4x and 3x. Gift cost shared in 3:2 means A pays (3/5)G, B pays (2/5)G. After gift: A has 4x - (3/5)G, B has 3x - (2/5)G = 132. A spent 2/3 of remaining: (2/3)(4x - 3G/5) is spent. From B: 3x - 2G/5 = 132. Solving gives G = 480, with A=640, B=480 as initial savings.