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Q. A used car dealer could only sell two cars over the weekend due to bad weather. He sold a sedan at 15% profit and a minivan at 20% profit. The selling price of the sedan is 25% more than the selling price of the minivan. What is the approximate profit per cent from the sales of both cars together?

Q. एक सेकंड हैंड कार डीलर खराब मौसम के कारण सप्ताहांत में केवल दो कारें बेच पाया। उसने एक सेडान को 15% लाभ और एक मिनीवैन को 20% लाभ पर बेचा। सेडान का विक्रय मूल्य मिनीवैन के विक्रय मूल्य से 25% अधिक है। एक साथ दोनों कारों की बिक्री से अनुमानित लाभ प्रतिशत क्या है?

A

14.57%
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B

17.73%
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C

16.87%
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D

17.17%
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Solution

The correct option is D
17.17%

Let the CP of the sedan be = S and the CP of the minivan be = M

→ Their SP will be:

Sedan = 1.15S

Minivan = 1.2M

Now, 1.15S =(1+25100)1.2M

1.15S=54×1.2M=1.5M

So, the ratio of CP will be (Sedan: Minivan) = 30: 23

So, the overall profit % will be =(30×15)+(23×20)30+23=91053=17.17%

माना सेडान का लागत मूल्य = S और मिनिवैन का लागत मूल्य = M है

→ उनका विक्रय मूल्य होगा:

सेडान = 1.15S

मिनिवैन = 1.2M

अब,

1.15S =(1+25100)1.2M

1.15S=54×1.2M=1.5M
तो, लागत मूल्य का अनुपात होगा (सेडान: मिनिवैन) = 30: 23

तो, समग्र लाभ% होगा =(30×15)+(23×20)30+23=91053=17.17%


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