Partnership
Partnership is a Aptitude concept from the MPSC syllabus, tested in 10 past MPSC questions across 9 exam years between 2014 and 2025. Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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सविता आणि कविता यांच्या आजच्या वया चे गुणोत्तर 3 : 4 आहे. 5 वर्षांनंतर त्यांच्या वयाचे गुणोत्तर 4 : 5 होईल, तर सविता आणि कविता यांची आजची वये काढा. The present ages of Savita and Kavita are in the ratio 3 : 4. After five years the ratio of their ages will be 4 : 5. Find the present ages of Savita and Kavita.
Let present ages be 3x and 4x. After 5 years, (3x+5)/(4x+5) = 4/5, solving gives x=5, so ages are 15 and 20 years.
B कडे C पेक्षा ₹ 5 अधिक आहेत. A जवळ B पेक्षा ₹ 14 अधिक आहेत. या तिघांकडील पैसे समान होतील अशी देवाण-घेवाण निवडा. B has ₹ 5 more than C. A has ₹ 14 more than B. Select the transaction that makes equal money to all the three.
Let C have x. Then B has x + 5 and A has x + 19, a total of 3x + 24, so each must end with x + 8. A gives ₹8 to C (C reaches x + 8) and ₹3 to B (B reaches x + 8), leaving A with x + 19 − 11 = x + 8. Option 3 equalises all three.
मिना, जीवा व फारू यांनी काही रक्कम वाटून घेतली. मिनािला 5/8 मिळाली, जीवाला 0.25 आणि फारूला 75 रुपये मिळाले. मूळ रक्कम दर्शविणारा पर्याय निवडा. Mina, Jiva and Faru share out a certain sum of money between them. Mina receives 5/8, Jiva receives 0.25 and Faru receives Rs. 75. Select options that indicates the original amount.
Let total amount be x. Mina gets 5/8 x, Jiva gets 0.25x (which is 1/4 x or 2/8 x). Remaining for Faru = x - (5/8 + 2/8)x = 1/8 x = 75. Therefore, total amount x = 75 * 8 = 600.
अमनने रु. 70,000 गुंतवून एक उद्योग सुरू केला. राखी या उद्योगामध्ये सहा महिन्यांनंतर आली व त्यावेळी तिने रु. 1,05,000 गुंतविले. सागरने पुढील सहा महिन्यांनंतर याच उद्योगामध्ये रु. 1.4 लाख गुंतविले व उद्योगामध्ये आला. जर तीन वर्षांनंतर या उद्योगामधील नफा अमन, राखी व सागर यांच्यामध्ये वाटावयाचा असेल तर तो कोणत्या प्रमाणात वाटावा ? Aman started a business investing Rs. 70,000, Rakhi joined him after six months with an amount of Rs.1,05,000 and Sagar joined them with Rs.1.4 lakh after next six months. What should be the ratio of the amount of profit earned which should be distributed among Aman, Rakhi and Sagar after three years ?
Profit ratio is calculated by multiplying the invested capital by the time period for which it is invested: Aman (70000 * 36), Rakhi (105000 * 30), Sagar (140000 * 24). Simplifying this gives 12 : 15 : 16.
संजय, अशोक आणि केतन यांनी 1:3:5 या प्रमाणात गुंतवणूक करून एक धंदा सुरू केला. 4 महिन्यानंतर संजयने पूर्वी जेवढी गुंतवणूक केली होती तेवढी पुन्हा गुंतवणूक केली. अशोक तसेच केतन यांनी त्यांची गुंतवणूक पूर्वीपेक्षा निम्मे केली. वर्षअखेर त्यांच्या नफ्याचे प्रमाण किती ?
Investment ratio changes over time periods. Sanjay: (1*4 + 2*8), Ashok: (3*4 + 1.5*8), Ketan: (5*4 + 2.5*8). Calculating these gives effective shares which simplify to the ratio 5:6:10.