9:{"metadata":[["$","title","0",{"children":"iimkbmsat0025 - The simple interest and compound interest on a certain sum for 2 years is INR 1250 and INR 1475, respectively. The rate of interest per annum (compounded annually) in percentage is: | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Given Information: - Time period = 2 years - Simp<= Interest (SI) = INR 1250 - Compound Interest (CI) = INR 1475 - Need to find: Rate of interest per annum

Find the difference between CI and SI: Difference = 1475 - 1250 = 225 This difference represents interest earned on the first year's interest for one year.

For Simp<= Interest, we know: SI = P R T100 Substituting the given values: 1250 = P R 2100 Simplifying: P R = 62500 ... (Equation 1)

For 2 years, the difference between CI and SI is given by: Difference = P (R100)^2 Substituting our values: 225 = P R^210000 Rearranging: P R^2 = 2250000 ... (Equation 2)

Divide Equation 2 by Equation 1: P R^2P R = 225000062500 R = 36

Verification: - Principal = 6250036 = 1736.11 - SI = 1736.11 36 2100 = 1250 ✓ - CI = 1736.11 (1.36)^2 - 1736.11 = 1475 ✓ The rate of interest per annum is 36\\%."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Arithmetic,Simple & Compound Interest"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"iimkbmsat0025 - The simple interest and compound interest on a certain sum for 2 years is INR 1250 and INR 1475, respectively. The rate of interest per annum (compounded annually) in percentage is: | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Given Information: - Time period = 2 years - Simp<= Interest (SI) = INR 1250 - Compound Interest (CI) = INR 1475 - Need to find: Rate of interest per annum

Find the difference between CI and SI: Difference = 1475 - 1250 = 225 This difference represents interest earned on the first year's interest for one year.

For Simp<= Interest, we know: SI = P R T100 Substituting the given values: 1250 = P R 2100 Simplifying: P R = 62500 ... (Equation 1)

For 2 years, the difference between CI and SI is given by: Difference = P (R100)^2 Substituting our values: 225 = P R^210000 Rearranging: P R^2 = 2250000 ... (Equation 2)

Divide Equation 2 by Equation 1: P R^2P R = 225000062500 R = 36

Verification: - Principal = 6250036 = 1736.11 - SI = 1736.11 36 2100 = 1250 ✓ - CI = 1736.11 (1.36)^2 - 1736.11 = 1475 ✓ The rate of interest per annum is 36\\%."}],["$","meta","9",{"property":"og:url","content":"/iimk-bmsat-past-year-questions/2025/QA/24"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | JIPMAT Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"iimkbmsat0025 - The simple interest and compound interest on a certain sum for 2 years is INR 1250 and INR 1475, respectively. The rate of interest per annum (compounded annually) in percentage is: | PYQs + Solutions"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20","$L21","$L22"],"error":null,"digest":"$undefined"}

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