P and Q invest in a business in the ratio of 5 : 4. If 15% of the total profit goes to charity and P's share is 3570, what is the toal profit? P और Q एक व्यवसाय में 5: 4 के अनुपात में निवेश करते हैं। यदि कुल लाभ का 15% दान के लिए जाता है और P का हिस्सा 3570 रु. है, तो कुल लाभ क्या है?

Let total profit be P. Charity receives 15% of P, so distributable profit = 85% of P = 0.85P. P and Q invest in ratio 5:4, so P's share of distributable profit = 5/9 of 0.85P. Given P's share = Rs. 3570. Therefore: (5/9) × 0.85P = 3570, so P = 3570 × 9/(5 × 0.85) = 3570 × 9/4.25 = Rs. 7560. Verification: 85% of 7560 = 6426, P's share = 5/9 of 6426 = 3570.