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UPSC Prelims

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CSAT 2024

Q25 2024, Ratio

Two persons P and Q enter into a business. P puts ₹14,000 more than Q, but P has invested for 8 months and Q has invested for 10 months. If P's share is ₹400 more than Q's share out of the total profit of ₹2,000, what is the capital contributed by P?

दो व्यक्ति P और Q एक व्यवसाय प्रारंभ करते हैं। P, Q की तुलना में ₹14,000 अधिक लगाता है, किन्तु P ने 8 महीने के लिए निवेश किया है और Q ने 10 महीने के लिए निवेश किया है। यदि ₹2,000 के कुल लाभ में P का हिस्सा, Q के हिस्से से ₹400 अधिक है, तो P द्वारा लगाई गई पूँजी कितनी है?

Explanation Please wait..

Let the amount invested by Q be x rupees. Then, the amount invested by P = (x + 14,000).

Given: P invested for 8 months, and Q invested for 10 months.
Hence, ratio of amount invested of P/Q = ((x + 14,000) * 8) / 10 x

Now, given that in total profit of ₹ 2000, P's share is ₹400 more than Q's share:

It means, Profit of P = ₹1200, and Profit of Q = ₹ 800.
Ratio of profits of P/Q = 1200 / 800 = 1.5

Now comparing: Profit shares are in proportion to the total amount invested.

Hence,

((x + 14,000) * 8) / 10 x = 1.5
8 x + 14,000 * 8 = 1.5 * 10 x = 15 x
14,000 * 8 = 7 x
x = 16,000

hence, the capital contributed by P = (x + 14,000) = ₹ 30,000.
Hence, option 1 is correct.

व्याख्या Please wait..

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